In growing patients, correcting a wrong tooth position – for example, a crossbite – can permanently correct facial asymmetry. Once jaw growth has finished, this asymmetry usually doesn't change when the teeth are aligned. There are orthopaedic and surgical methods of correction that can work together with orthodontic ones. Also, sometimes facial asymmetry, even in adults, may not come from the jaws at all but from misaligned teeth that force the lower jaw to slide to one side. In that case, correcting the teeth also corrects the problem in the face.
This answer is for general information. Your own case needs an examination by an orthodontist.

