Is it possible to have a lip lift AND a upper lip reduction.

My mouth/lips rest too low on my face, and I wish to get it lifted. However, I want to get the upper lip reduced in response to the lift, as it's already thick enough to begin with that it better not get any thicker—my aesthetic preference is more in line with Asians culture who prefer thinner lips. Do lip lift and lip reduction conflict each other after all? How can my problem be approached?