Unwanted Children and Child Support

As

*HYPOTHETICALLY* If a man makes it clear that he doesn't want children, and you accidentally end up pregnant due to failed contraception - is it wrong for him to omit himself from the situation? I feel like this is fair, once he's been honest from the start. Especially if he's made it clear that he's not financially stable enough to support children.

I know it can be used as a cop out, but why put a man on child support if he told you that he doesn't have the means to support children?