How to fix nose hump without surgery?

If your radix is deep (portion of the bridge between the eyes) it can sometimes accentuate the appearance of a dorsal hump.  In these patients, building up the radix will allow the hump to be camouflaged by straightening the profile with nonsurgical rhinoplasty.  Seeking an expert in nonsurgical rhinoplasty will give you the best result in the safest manner.  

You mention that you never had a nasal hump before, so the first thing would be to have a thorough evaluation of the inside and outside of the nose to determine whether or not this is something that needs to be addressed and treated.  If everything is good and it is just an aesthetic issue, then depending on the size of the hump, non-surgical rhinoplasty can usually be performed to camouflage the nasal hump, giving you a nice straight profile.  Please consult with a board certified specialist who can assist you with achieving the results you seek.