Can I remove this bump with local anesthesia only? (Photo)

Hello' Thank you very much for your question. As far as I can understand from your photos you have a strong dorsal hump and it cannot be solved with a local anesthesia. You might need a rhinoplasty surgery with general anesthesia. It would be more convenient to decide with face-to-face consultation. Best Regards!

This may be more than can be achieved under local anesthesia, unless you would be happy with a slight correction. I would recommend osteotomies if you do an aggressive reduction to avoid an open roof deformity.

Dorsal hump rasping and osteotomy: Rasping a dorsal hump, other than the most tiny insignificant humps, will result in an open roof and require osteotomies to close the roof. while this can theoretically be done under local anesthesia, and was done that way decades ago, most surgeons feel they can do their best work when the patient is asleep and not responding to their work. Osteotomies while awake would be rather unpleasant for most patients. Anesthesia for healthy, young, Non-obese patients, in good hands has an extremely low risk.