Can my step son's father keep us from moving out of state if he legitimize him?

Me my wife step son and son live in Georgia and we are wanting to move to Tennessee. My step sons' (haiden) father does not and has never had a job he is supposed to pay child support but doesn’t, he hardly ever wants to see haiden and when he does we have to take haiden to him because he doesn't have a license. He is 25 and still lives off of his parents. My wife told them that we are moving to Tennessee then all of the sudden he wants to legitimize haiden and says he's going to stop us from moving. My question is, can he do that? Can he stop us from leaving the state if he legitimizes haiden?