Can you combine a lip lift and lip reduction to increase teeth show? (Photo)

Hi! I have quite an issue. I have never been able to fully smile with my teeth as my upper lip has always been kind of droopy. I have been thinking about getting a lip lift but my upper lift is already quite big and I don’t necessarily want to add much volume to it. However, it seems I would need to pull it up quite a lot to be able to fully smile (especially frustrating after having braces for years in highschool!). Any guidance would be so so so appreciated. Thank you.