Is There a Way to Thicken a Narrow Nose?

Yes. Reverse osteotomies have to be employed where the nose bones are widened, and then spreader grafts are placed in the new location, both in the cartilage and in the bony area of the nose. The tip can also be widened with structural cartilage grafts to create a more balanced, wider nose.

In primary rhinoplasty, it is much more common to reduce or narrow a nose than it is to "thicken" a nose, but it certainly can be done. The middle of the nose can be augmented with grafts (such as spreader grafts, dorsal onlay grafts, or sidewall grafts.) Nasal bones can be moved out to widen the nose. The best thing for you to do is see a rhinoplasty surgeon, and discuss your goals with them. They will let you know if your desires are achievable, and what needs to be done to attain the result.
Good luck!