Yes your teeth may regrow, "IF" the root is still Alive and may become Healthy !
My tooth has regrown enough over the break area so that it no longer gives me any problem, but you have to understand that it was a Hugh part of my tooth which Broke off !
Also some fillings which I got 20 about years ago have come loose and popped out because of the teeth regrowing some !
It has been about 20 years since I have had any fillings put in any of my teeth, and "IF" I would have understood what I do now and done something about it then, there may not have been those put in !