I can think of many potential uses for a fat melting injection, but a nose job is certainly NOT one of them. The nose has very little fat. It's structure is bone and cartilage primarily.
ATX-101 is a formulation of deoxycholic acid which can dissolve fat. ATX-101 would be totally inappropriate and unpredictable in the nose. Rhinoplasty is a technique to reshape bone and cartilage in the nose, which contains relatively little fat.