Yes a man has absolutely no legal right to force the abortion of his child and if paternity is established then the court will order the non custodial parent to pay child support for 18 years.
Unfortunately for you, if she chooses not to have an abortion, and presuming that you are the father, you will be liable for child support for at least the next 18 years. That being said, I would insist on a DNA test to confirm paternity to determine whether or not you are the actual father.