Yes, as much as the ark and the temple housed God:
But will God indeed dwell on the earth? behold, the heaven and heaven of heavens cannot contain thee; how much less this house that I have builded? - (1 Ki 8:27 KJV)
She carried an incarnate Christ, who was God and man. Not ALL of God's essence. God is omnipresent. If mary could have born GOD in totale, she would have been God..
For he whom God hath sent speaketh the words of God: for God giveth not the Spirit by measure unto him. - (John 3:34 KJV)
Mary's experience was with a "measure" of God's essence. She could not bear God because, simply put, you cannot get all of GOD in a womb or an other earthly vessel.
She bore God incarnate. Big difference.