Legal Question in Family Law in Kentucky

Yes, you can always have a DNA test done if you have access to the child. All it takes is a hair sample or a mouth swab. But if this question is to ask whether you can then use those results to escape further obligation to the child, you'd still have to petition the court to relieve you of the obligation based on those results and deceit by the mother.

But I'll refrain from commenting at length on how a man rejecting a child he raised from birth who knows no other father, because he divorces the mother and doesn't share DNA with the child, would make him not much of a man. The legal thing to do isn't always the right thing to do.