Is It Possible to Get a Permanent Indent for a Flat Philtrum Through Plastic Surgery?

The indent where my philtrum is suppose to be is flat. I've read many threads about philtrum reduction but never one about someone getting philtrum surgery from scratch. This and maybe a Cupid's bow is the only thing I've ever wanted to have sculpted. I would like to know of any doctors who perform this surgery close to the Midwest preferred, but I'm definetely willing to travel. I am especially interested in getting a permanent philtrum. Thanks for answering.