Is It Possible To Shave Off Some Part Of Mandible And Chin To Correct Asymmetry If The Bite Is Normal?

Without photos it is difficult to answer, but that should be possible. If your bite is good and you are happy with it, a genioplasty can correct a chin asymmetry. IF your entire jaw is canted or rotated than orthognathic jaw surgery may be the answer which would involve more orthodontics and preparation. Seek the advice of a Board Certified Oral and Maxillofacial surgeon in your area to discuss this