No, it would be saying that God the Word Incarnate did not.
What do you mean by the "Mother of God"?
I mean to be clear about the fundamental tenets of our faith. Who Jesus is is inherently connected with who Mary is and their relationship defines the Incarnation.
By "Mother of God," I mean that Jesus was God Incarnate, begotten not made, one in Being with the Father - Who by the power of the Holy Spirit was born of the Virgin Mary.
Given your description, what part did Mary play?