This would be nice; but nearly impossible to actually do. The woman could grab any male, and have him claim to be the father. Then, working in collusion, could affect an abortion without the true father being aware.
As things stand, biologically; the male has very little input into the decision process. The woman may tell the man she's using birth control - and lie. And the man is forced into the father's role willing, or unwilling. This is not an unusual occurance.
Nobody is forcing the man to have sex with said woman. My take is if he is willing to engage in intercourse with her, he should be ready to face any consequences of that decision. Whether it affects his physical health, financial health, emotional health etc. For a married couple, there are many more issues in play if she feels the need to "trick" him into fathering a child which won't be covered here. If individuals are not prepared to handle the responsibility of a child, they should not engage in sexual intercourse. The only 100% effective birth control method is abstinence, which coincidently, is the only 100% effective method in preventing the spread of STDs. Makes one wonder if the "design" was intentional.