Non Surgical Nose Job Before Rhinoplasty?

Based on your photos rhinoplasty will be better option for you. Instead of having the two operations performed separately at different times, you should consult a board certified surgeon and decide on the procedure and operation. Then everything will be better for you.

Non-surgical will not prevent surgical rhinoplasty, but may affect procedure planning and your result if the injected product is still present at time of consultation.  If procedure is planned and performed with filler still in place, then filler dissipates months after the rhinoplasty, this will obviously affect your outcome.

Hard to anticipate exactly how long some injected products last.  I've seen Restylane and Juvederm, which are only supposed to last six months or so, still be present two years (and longer) after placement.

Judging by your photo, your nasal profile is straight, and doesn't have an obvious "bump" (dorsal hump).  There is really nothing that filler injection (the non-surgical rhinoplasty) would be able to offer you as an improvement.

Your nose is a little long, and some tip rotation at the time of surgery would be a key part of improving the appearance.

My advice:  wait for the real thing.