Can the width of the nasal bone be reduced with a rasp and not be broken? Asian rhinoplasty. (Photo)

Although you can rasp down the bones on the nasal sidewalls, this is unlikely to give you significant narrowing or your nose.  You share a common characteristic to many Asian patients who have very flat and wide nasal bones.  
I find that Asian patients rarely need osteotomies of their nasal bones if you augment the bridge of your nose with either a synthetic implant or an implant made from your tissue (diced cartilage fascia graft).  
The reason this is true is that once you augment the bridge, you are able to create new dorsal aesthetic lines that are narrower and are defined by the new implant rather than the nasal bones.  The low, wide nasal bones almost disappear as the optical focus shifts to the new nasal bridge.

In general, when we rasp someone's nasal bridge, it appears to take on a wider appearance. Bridge narrowing during rhinoplasty typically involves osteotomies. Thank you. Dr Joseph

To me your bridge doesn’t appear excessively wide. However trying to narrow the bridge with a rasp will get you nowhere. The bones have to be broken and moved inward.