There are people who think that the angel of the Lord is Yeshua (Jesus) before he became a man. While the Scriptures do not say this explicitly, there are some remarkable likenesses between the angel and Yeshua.

Attribute Angel of the Lord Yeshua
Is seen as God Genesis 16:10,13 Moreover, the angel of the LORD said to her, “I will greatly multiply your descendants so that they will be too many to count.”…Then she called the name of the LORD who spoke to her, “You are a God who sees;” for she said, “Have I even remained alive here after seeing Him?” John 20:28 Thomas answered and said to [Jesus], “My Lord and my God!”

John 14:9 Jesus said to him, “…He who has seen Me has seen the Father…”

Speaks as if he is God Judges 2:1-2 Now the angel of the LORD …said, “I brought you up out of Egypt and led you into the land which I have sworn to your fathers; and I said, ‘I will never break My covenant with you, and as for you, you shall make no covenant with the inhabitants of this land; you shall tear down their altars.’ But you have not obeyed Me; what is this you have done?” John 10:30 “I and the Father are one.”
Yet is separate from God and obedient to him 1 Chronicles 21:27 “The LORD commanded the angel, and he put his sword back in its sheath.” John 8:38 “I am telling you what I have seen in the Father’s presence…”

Note: Even though Jesus spoke with the authority of God, he was still obedient to God. This is seen in the prayer he utters in the garden of Gethsemane, and in his obedience as he died on a cross.

Is sent from the Father Judges 13:9 God listened to the voice of Manoah; and the angel of God came again to the woman as she was sitting in the field… John 8:42 Jesus said to them, “…for I came from God and now am here. I have not come on my own; but he sent me.

John 6:38 “For I have come down from heaven not to do My own will, but the will of Him who sent Me.

Speaks with all the authority of God, gives commands Judges 13:12-14 Manoah said, “Now when your words come to pass, what shall be the boy’s mode of life and his vocation?” So the angel of the LORD said to Manoah, “Let the woman pay attention to all that I said. “She should not eat anything that comes from the vine nor drink wine or strong drink, nor eat any unclean thing; let her observe all that I commanded.” Matthew 7:28, 29 When Jesus had finished saying these things, the crowds were amazed at his teaching, because he taught as one who had authority, and not as their teachers of the law.

Matthew 8:27 The men were amazed and asked, “What kind of man is this? Even the winds and the waves obey him!”

Forgives sin Zechariah 3:3,4 Now Joshua was clothed with filthy garments and standing before the angel. He spoke and said to those who were standing before him, saying, “Remove the filthy garments from him.” Again he said to him, “See, I have taken your iniquity away from you and will clothe you with festal robes.” Matthew 9:2 When Jesus saw their faith, he said, “…son, your sins are forgiven.”
Acts as judge and avenger of Israel Joshua 5:13,14 Now it came about when Joshua was by Jericho, that he …looked, and behold, a man was standing opposite him with his sword drawn in his hand, and Joshua went to him and said to him, “Are you for us or for our adversaries?” He said, “No; rather I indeed come now as captain of the host of the LORD.” And Joshua fell on his face to the earth, and bowed down, and said to him, “What has my lord to say to his servant?”

Note: Though the text does not specifically call this mysterious man the angel of the Lord, the passage closely parallels Exodus 3 and the following verse.

1 Chronicles 21:16 Then David lifted up his eyes and saw the angel of the LORD standing between earth and heaven, with his drawn sword in his hand stretched out over Jerusalem. Then David and the elders, covered with sackcloth, fell on their faces.

Revelation 19:11-16 And I saw heaven opened, and behold, a white horse, and He who sat on it is called Faithful and True, and in righteousness He judges and wages war…and His name is called The Word of God. And the armies which are in heaven, clothed in fine linen, white and clean, were following Him on white horses. From His mouth comes a sharp sword, so that with it He may strike down the nations, and He will rule them with a rod of iron; and He treads the wine press of the fierce wrath of God, the Almighty. And on His robe and on His thigh He has a name written, “KING OF KINGS, AND LORD OF LORDS.”
Accepts Worship Judges 6:19-21 Then Gideon went in and prepared a young goat and unleavened bread from an ephah of flour; he put the meat in a basket and the broth in a pot, and brought them out to him under the oak and presented them. The angel of God said to him, “Take the meat and the unleavened bread and lay them on this rock, and pour out the broth.” And he did so. Then the angel of the LORD put out the end of the staff that was in his hand and touched the meat and the unleavened bread; and fire sprang up from the rock and consumed the meat and the unleavened bread. Then the angel of the LORD vanished from his sight. Matthew 28:5-95 The angel [not the angel of the Lord but a different angel] said to the women, “Do not be afraid; for I know that you are looking for Jesus who has been crucified. He is not here, for He has risen, just as He said. Come, see the place where He was lying. Go quickly and tell His disciples that He has risen from the dead; and behold, He is going ahead of you into Galilee, there you will see Him; behold, I have told you.” And they left the tomb quickly with fear and great joy and ran to report it to His disciples. And behold, Jesus met them and greeted them. And they came up and took hold of His feet and worshiped Him.
Comforts 1 Kings 19:3-8 And he (Elijah) was afraid and arose and ran for his life …he himself went a day’s journey into the wilderness, and came and sat down under a juniper tree; and …said, “It is enough; now, O LORD, take my life, for I am not better than my fathers.” He lay down and slept under a juniper tree; and behold, there was an angel touching him, and he said to him, “Arise, eat.” Then he looked and behold, there was at his head a bread cake baked on hot stones, and a jar of water. So he ate and drank and lay down again. The angel of the LORD came again a second time and touched him and said, “Arise, eat, because the journey is too great for you.” So he arose and ate and drank, and went in the strength of that food forty days and forty nights to Horeb, the mountain of God. Matthew 11:28-30 “Come to Me, all who are weary and heavy-laden, and I will give you rest. Take My yoke upon you and learn from Me, for I am gentle and humble in heart, and you will find rest for your souls. For My yoke is easy and My burden is light.”
Uses “I AM” to refer to himself Exodus 3:14 God [called the angel of the Lord in this passage] said to Moses, “I AM WHO I AM;” and He said, “Thus you shall say to the sons of Israel, ‘I AM has sent me to you.'” John 8:58 Jesus said to them, “Truly, truly, I say to you, before Abraham was born, I am.”Makes special promises
Makes special promises Genesis 16:10 Moreover, the angel of the LORD said to her, “I will greatly multiply your descendants so that they will be too many to count.” John 14:1-3 “Do not let your heart be troubled; believe in God, believe also in Me. In My Father’s house are many dwelling places; if it were not so, I would have told you; for I go to prepare a place for you. If I go and prepare a place for you, I will come again and receive you to Myself, that where I am, there you may be also.”