Insurance Coverage for Nose Hump Removal Due to Injury?

It's unlikely that your insurance company will cover the costs of rhinoplasty, since your predominant complaint is a cosmetic concern, not a functional one. Insurance companies are much more likely to cover some of the costs of rhinoplasty if there is documented airway obstruction or breathing problems. A bump on your nose, although the result of trauma, ultimately is a cosmetic concern.
Hope this helps. Best of luck.

Insurance is a contract between you and your insurance company. I suggest you contact your carrier and ask them if a facial fracture is a "covered" expense and get it in writing.

Be aware however, that insurance companies make money by denying claims. So even if in writing, be prepared to fight.