I'm not sure if this is included in what's considered a rhinoplasty
What you are referring to is increased show in the alar region of your nose. During the tip refinement phase of rhinoplasty, this can be adjusted through various maneuvers that an experienced rhinoplasty surgeon will be familiar with.
Hi It is better for you to consult with a facial plastic surgeon who can examine you and discuss if needed the surgical procedure and the post op recovery process.