Can Non Surgical Nose Job Correct Exposed Nostrils?

The answer is probably yes. It is impossible to say anything without consultation. I advise you to discuss this with your board plastic surgeon, check actual before & after photos ( not the ones made with computer animation programs). 

Generally the area you are referring to needs to be surgically modified.  But you should get evaluated by an expert in surgical and nonsurgical rhinoplasty so they can determine what is best for you.

Having nasal surgery under local anesthesia isn't non-surgical. A non-surgical Rhinoplasty refers to injecting the nose with a tissue filler. Its also called injectable rhinoplasty or the 5 minute nose job (although it usually takes 20 minutes!).

These devices have found limited application as longterm nose reshaping procedures. The gold standard remains a rhinoplasty. Best, Dr. Karamanoukian 

There have been described some procedures to narrow the alar base using suture techniques through the skin (percutaneously). Although no significant cutting is taking place, it's arguable whether to call this "non-surgical." it's not a preferred technique since it can sometimes affect...

There are no guidelines regarding a minimum age requirement for using Injectable Fillers in your child's nose. The youngest child I've treated to date is a 16 year old, and his pictures are attached. Feel free to email / post your child's photo and I'll be happy to give you my thoughts. I hope...