Yes, a chin implant (chin augmentation) can be performed in the office or surgery center setting under sterile conditions with local anesthesia. It can also be removed under local anesthesia. The entire chin area has to be anesthetized with a local anesthetic in order to place a chin implant.
Chin implant come in a variety of materials such as silicone or a permanent matrix such as Porex. Regardless of the material many surgeons like to anchor these implants with a screw into the bone. While it is easy to numb the lower lip and soft tissues of the jaw its more difficult to numb the bone. Not impossible but the surgeon must know how to block the alveolar nerves.An outpatient surgery center or a hospital operating room would be more comfortable and safer in my opinion.