It doesn't say that He is, but it does call Him
Now Jacob heard the words of Laban’s sons, saying, “Jacob has taken away all that was our father’s, and from what was our father’s he has acquired all this wealth.”And Jacob saw the countenance of Laban, and indeed it was not favorable toward him as before.
Then the Lord said to Jacob, “Return to the land of your fathers and to your family, and I will be with you.” - Genesis 31:1-3
http://www.biblegateway.com/passage/?search=Genesis31:1-3&version=NKJV
And
“And it happened, at the time when the flocks conceived, that I lifted my eyes and saw in a dream, and behold, the rams which leaped upon the flocks were streaked, speckled, and gray-spotted.Then the
Angel of God spoke to me in a dream, saying, ‘Jacob.’ And I said, ‘Here I am.’And He said, ‘Lift your eyes now and see, all the rams which leap on the flocks are streaked, speckled, and gray-spotted; for I have seen all that Laban is doing to you.I am the God of Bethel, where you anointed the pillar and where you made a vow to Me.
Now arise, get out of this land, and return to the land of your family.’” - Genesis 31:10-13
http://www.biblegateway.com/passage/?search=Genesis31:10-13&version=NKJV
Now Moses was tending the flock of Jethro his father-in-law, the priest of Midian. And he led the flock to the back of the desert, and came to Horeb, the mountain of God.And
the Angel of the Lord appeared to him in a flame of fire from the midst of a bush. So he looked, and behold, the bush was burning with fire, but the bush was not consumed.Then Moses said, “I will now turn aside and see this great sight, why the bush does not burn.”So when the Lord saw that he turned aside to look, God called to him from the midst of the bush and said, “Moses, Moses!” And he said, “Here I am.”Then He said, “Do not draw near this place. Take your sandals off your feet, for the place where you stand is holy ground.”Moreover He said, “
I am the God of your father—the God of Abraham, the God of Isaac, and the God of Jacob.” And Moses hid his face, for he was afraid to look upon God. - Exodus 3:1-6
http://www.biblegateway.com/passage/?search=Exodus3:1-6&version=NKJV
The "Angel of the LORD" is Jesus, preincarnate. And He claims to be God, because He is God.