Is defatting below the nose tip possible? (photo)

My nose was flatter before and my surgeon built it up with rib conservatively. I asked my surgeon to defat the part below the tip if possible. I drew a black dot where the tip is. I’m referring to the part where the columella meets the bottom of the tip where I drew the red arrow (not the tip itself). He said it’s too dangerous to thin this part out. Is it possible to reduce or thin it a good amount? I added a photo of what I’m referring too.