Nope, read Luke. The angel explained what would happen, and Mary asked how that was possible, and then she said, "Be it unto me according to thy word." That is giving permission.
Luke 1:34 Then said Mary unto the angel, How shall this be, seeing I know not a man?
Luke 1:35 And the angel answered and said unto her, The Holy Ghost shall come upon thee, and the power of the Highest shall overshadow thee: therefore also that holy thing which shall be born of thee shall be called the Son of God.
Luke 1:36 And, behold, thy cousin Elisabeth, she hath also conceived a son in her old age: and this is the sixth month with her, who was called barren.
Luke 1:37 For with God nothing shall be impossible.
Luke 1:38 And Mary said, Behold the handmaid of the Lord; be it unto me according to thy word. And the angel departed from her.