Can pressing the hump on nose with fingers regularly flattened the nose bone?

Unfortunately the only way to safely and permanent remove the hump on your nose is with rhinoplasty.  Pressing on the hump will not achieve the desired effect.  

Massaging your nose will certainly NOT make your hump go down. On the contrary it may inflamme the tissues and make the hump bigger. If you want to take the hump down, talk to a rhinoplasty surgeon about having a nose job. Good luck.

I do a lot of noses in my community. Pressure does not work.  It is not uncommon to mismatch the take down of the bony part versus the supratip area.  This is the most difficult part of the surgery.  You can verify this from your profile.  Your surgeon thought he/she had a satisfactory matchup only to find the mismatch postop because of the way your body healed.  Fortunately, the correction is relative easy and lost less expensive and debilitating. You can tell him/her what you would like higher or lower on your profile view.  Your surgeon sounds very capable.