No, of course not. Sex outside marriage produces “crisis,” “unexpected” pregnancies. Abortion, legal or not, has always been one of the methods for dealing with the situation. When abortion is legal and socially acceptable, there will be more pregnancies, because people base their decisions on having that “solution” for pregnancy.
Another outcome of sex outside marriage is children outside marriage. Depending on the society, the result can be children begging in the street, or children reared with iPods, enough food to be obese, billion-dollar schools ... and moral and physical squalor. (See: What’s this we have now?)
And all this is “not a bug, but a feature” - the logical and reasonably expected outcomes of a society that rejects sexual morality.
But thanks for the morality lesson anyway.