I don’t think so, no. She didn’t carry the baby for another person and Jesus was of her DNA. She was supposedly made pregnant by god rather than another human (some folks wonder if god actually came down and fucked her or just placed a baby in her womb, which I think is an interesting thing to think about). Either way, surrogacy generally means the woman carries a child that doesn’t have her DNA, but Christian theology, across denominations and sects, all seem to agree he was fully human which would come from Mary.