Canada has no laws regulating abortion (the last was struck down as unconstitutional in 1988) and the procedure is publicly funded, yet abortion rates are much lower than in the US.
Abortion Law and Policy: Comparisons Between the U.S. and Canada (arcc-cdac.ca)
Since the leak, Canadian politicians have come out to confirm that American women can access abortion services here. Of course, it wouldn't be free for them, as they wouldn't be covered by medicare here.
Although some conservative politicians rage against abortion here, Conservative Party leadership are afraid to raise the issue in parliament as it is most assuredly a vote-loser, since 80% of Canadians support a woman's right to choose.