No, because a woman's right to her own body is not in conflict with a fetus' right to live, even if you believe the fetus does have that right.

People who claim they care about the fetus' rights, and that they oppose abortion from this point of view, are either hypocritical or haven't given it enough thought. If they did, they would at best insist upon the woman carrying the fetus until it becomes viable, then having the right to a C-section where it is removed and placed on life support, and given up for adoption. But no one holds this position.

In reality, people use the rhetoric of the fetus' rights to muddy the waters, and to avoid admitting that they don't believe women have a right to control their own bodies. They hold collectivist views that are typical of conservatives, who believe all people should be subservient to the social fabric (while espousing individualistic views when it comes time for the social fabric to help those same people in turn) - no free sex, no freedom to use drugs, etc