Yes, the fullness of the deity (Word) became flesh in the person of Jesus Christ but Jesus himself is the angel of the Lord and his body was the home of the fullness of God.Just going to leave this here:
"In the beginning was the Word, and the Word was with God, and the Word was God." John 1:1
"And the Word became flesh and dwelt among us, and we have seen his glory, glory as of the only Son from the Father, full of grace and truth." John 1:14
Jesus is God.