Is otoplasy to move upper part of ear away from head common or doable?

I know that otoplasty procedures involve pinning ears closer to one’s head. My situation is not that. I’m actually interested in knowing whether it’s common/possible to have part of an ear moved away (not closer) to the head. One of my ears is perfectly fine. The top of the other ear curves inward and is closer to my head. I know that anything is possible, but is my situation common enough that a good number of surgeons would know how to fix in only one session? Thank you.