Is it possible to have general for jaw alignment surgery?

Yes: If the doctor want could be done.

Yes: It does take special equipment and planning though.

General anesthesia: Jaw alignment surgery, or orthognathic surgery, is routinely performed under general anesthesia. Some minor jaw adjustment procedures, such as a genioplasty (chin advancement), chin implant or jaw implant, can be done under intravenous sedation without requiring full-blown general anesthesia. However, most jaw procedures require general anesthesia performed by an anesthesiologist or rn anesthetist.

General anesthesia: It is required to have general anesthesia for these procedures. Your anesthesiologist should be familiar with these cases, hence it takes some special skills.