Can anything be done to fix my outie belly button? (photos)

I'm 18 years old, about 5'5 and 120lbs. I went to see a plastic surgeon when I was 16 and he seemed very hesitant about doing anything to fix my outie, and also said he had never heard of an umbilicoplasty being done. He sent me for a CT scan to make sure it wasn't a hernia - which it wasn't. After that it didn't really go anywhere, as he seemed very unsure about how to go about operating. Is there anyone who thinks there's something that can be done to make my outie an innie?