Good question. Yes, derma filler injections for non-surgical nose augmentation are a common procedure offered in Korea. Below are examples of before and after images from a Korean clinic offering filler injections for nasal bridge heightening. Prices can range from 190,000 KRW to 1,200,000 KRW. The price you mentioned sounds like a straight forward surgical procedure that only involves placing an implant, i.e. no tip reshaping; bone osteotomy (bone cutting or fracture); septum correction; alarplasty, etc… But it would be best to confirm with the clinic.
The cost usually depends on several factors such as the type of clinic; as well as the type of filler (Restylane, Juvederm, Radiesse, etc…); how much of that filler is used, and the treatment area. Clinics often run several sales events and specials for filler injections, so the prices will vary.