Yes.
Obviously stats before Roe V Wade on abortion totals are hard to come by, therefore I will show you the claims made by the pro-abortion lobby and point out why they are wrong.
In an article by Suzanne Gordon in the April 4, 1989 Washington Post Health Magazine she stated, "more than 1.2 million women are estimated to have had illegal abortions each year before Roe v. Wade, and approximately 5,000 died annually as a result."
During 1973, after the Supreme Court had legalized abortion nationwide in January of that year, 744,600 abortions were done (according to the Alan Guttmacher Institute). Therefore, the anti-abortion lobby must claim that the legalization of abortion dropped the number of abortions by almost 500,000, only to then see that number double in the coming years. It does not fly in my opinion.
The number of legal abortions reached 1 million in 1975, the third year of legalization. In 1977, four years after Roe v. Wade, the number exceeded 1.2 million, according to the Guttmacher Institute. Today (according to numerous sources) the number of abortions remains about 1.3 million a year, but we saw an all-time high of 1.6 million abortions in 1990. (Guttermacher Institute)
The pattern here is pretty seems pretty clear that abortion numbers in fact went up after the Supreme Court legalized nationwide abortion, and continue to stay much higher than they did before it was legalized. Therefore, the law banning abortion did indeed, by extension, limit the number of abortions that were taking place in the United States.
Yes, I'm sure stats on illegal abortions were hard to come by. That's why the 1.2 million figure could be just as valid as the 744,600 figure, or it could be that neither one is correct. If the 1.2 million figure were exaggerated by even 10%, then the figure of a million abortions in '75 would indicate that the actual number didn't change much after Roe V Wade.
It is more accurate to compare nations where abortion is legal with where it is illegal, and see who has the most. The figures from South America are particularly telling, IMO, because of the strong Catholic majority in those nations.
Passing laws against a social evil may make the lawmakers happy, but it doesn't necessarily end that evil, nor even lessen it.