No, by my logic, if women have that option, men should be given a "way out" from unwanted kids too, even if it's due to financial or other non-medical reasons. Obviously men cannot physically abort, so a paper abortion (giving up all rights and responsibilities) would be a way out for them/us.
If we're talking about abortions as medical solutions (risky pregnancies, medical issues with the baby, etc...) then sure.
If we give half the population an option to get rid of a result of a five-minute mistake, for personal, financial and even for reasons such as "I just don't want one now", why not give that way-out to the other half involved in that five-minute fuckup? Otherwise we're literally talking about 20+ years of relatively huge consequences.
By your logic women should not be able to abort because there's still kids in third world countries suffering from hunger.