Yes, it is probably repairable, especially if focus and image quality still seem normal. The drop likely broke or disconnected part of the mechanical linkage between the zoom ring and the zoom barrel.

A professional repair is the safest option. Even if the optics appear fine, an impact can also cause hidden alignment or structural issues, and a service center is better equipped to assess that properly. Nikon service may be able to repair the lens body or replace damaged mechanical parts while preserving the usable optical elements.

A DIY repair might be possible in some cases, but it depends on exactly what was damaged. Since impact damage can involve more than the obvious symptom, opening the lens yourself risks making alignment or reassembly worse.

So: yes, it may be salvageable, but sending it to Nikon or a qualified lens repair technician is the recommended path.