Can my teeth be re-aligned so that I would have a normal bite when I move my lower jaw forward? It makes my side profile better.

When I was 13, I extracted 2 upper teeth for braces which I wore for 2 years. I'm 22 now and have a highly receding chin which ruins my side profile. I look better when I move my lower jaw forward and I have successfully programmed my jaw muscles for that position.However,my top and bottom teeth are obviously not aligned in this jaw position. So my question: Is there any non-surgical way to re-align me teeth for? I think adding an expander for the upper jaw and a twin block appliance might work?