Could I get rid of a bump on bridge of my nose without surgery? (Photo)

you need rhinoplasty for improvement and you should seek an expert for treatment especially one who is a specialist.  Best, Dr. emer.

You appear to be a candidate for rhinoplasty- which is a surgical procedure to reshape the nose. Seek an experienced Board Certified PS for in-person exam. For more info you can read this blog:

Non-surgical rhinoplasty with fillers is useful for:1. Smoothing defects from previous rhinoplasty surgery.2. Providing the illusion of straightening a mildly crooked nose.3. Creating a more defined nasal bridge, particularly in African-American and Asian patients.4. Improving a saddle-nose deformity.Since your cosmetic goals are more consistent with reducing a nasal hump, you would be better served by surgical rhinoplasty.