HaQer,
No a Ben Noach is Chayav Misah on abortion.
Therefore the Poskim hold that (in a case that abortion is Muttar) it should be done by a Yid.
Furthermore, it should be done, if possible by a woman, as according to some, abortion is a problem of Hahchosas Zerah (of which there is no Issur for a woman)
So a female Jewish Doctor is your best choice for an abortion!