Is it possible to just get the bridge of your nose done without doing any work on your nostrils?

What make the nose operation most demanding is the chain of events that may develop from a single maneuver. Removing the nose hump, for example, makes the nose desirable on the profile while the nose may look wider on the front views requiring moving the nose bones closer to each other to avoid excessive widening of the nose. Additionally, removing the hump can result in a condition called and an inverted V deformity with collapse of the nose valves that cause breaking problems, if grafts that are called spreader grafts are not used. Furthermore, removing a hump may result in an optical illusion that the nose tip has been turned up without turning the tip up. More importantly, removing the nose hump may cause the loss of tip projection. This is why the answer to your question is not simple and it has to come from a rhinoplasty expert after a careful analysis of your face and your nose to make sure that trying to make the surgery simpler will not result in adverse consequences.

 Yes, it is possible to only perform bridge work on the nose without doing any work on the nostrils. A full  set of pictures are required  to give any meaningful opinion. It is possible to shave down the dorsal hump and then perform osteotomies to narrow the bridge line and close the open roof created from the hump removal. For many examples and more information, please see link and the video below

Refining the nasal bridge usually involves "hump reduction," making the bridge of the nose smaller, narrower, and more proportional. In some patients, the nasal tip and nostrils do not require modification, only the bridge. In my opinion, most of these patients are candidates for endonasal, or closed, rhinoplasty--as opposed to open rhinoplasty. Determining what procedure is best for you involves consultation with a board certified plastic surgeon. The beauty of rhinoplasty is that it is individualized for each patient's goals and facial characteristics, to achieve a dramatic but natural result. Good question. Good luck.