Possible to increase overall height of nose from bridge to tip while preserving side profile/retaining bump on bridge? (Photo)

With nonsurgical rhinoplasty it certainly is possible to increase the height of the entire bridge, "hump" included.  It's possible to get a sense of how this would change the appearance of your profile by having your surgeon perform computer morphing to show you the projected change.  

What you are asking is not either easy or practical. As most maneuvers to elevate the bridge will affect the status of the dorsal hump. To be honest, after looking at your photos I would only consider a slight rasping of the hump or simply doing nothing and leaving your nose as is.