Umbilicoplasty on a Shallow Navel? (photo)

It is possible to add depth to your umbilicus.  Better photographs would be helpful to understand the extent of your problem.  

Thanks for the question and the photo attached. The picture is a bit too close up to tell how it fits in with the entire abdomen.

It looks to me like the base of the navel is already flush with the abdominal wall, so making it deeper is not likely something that can be done. That leaves building up the surrounding tissue with fat grafts, provided you have a source of fat to be harvested. 

This problem really demands an in person exam to properly make a plan. All the best.