Umbilicoplasty for a Male?

An "outie" can be caused by redundant skin, or it can be an umbilical hernia.
In either event, an umbilicoplasty would likely be able to make the belly button protrude less.
If there is a hernia, I do not favor the umbilical transsection and mesh placement so often used by general surgeons, but rather a circum-umbilical incision (around the belly button), with direct repair of the hernia.

I repair umbilical hernias with a hybrid 'figure of eight' approach that minimizes scarring around the skin. Our office specializes in belly button revision surgery. Raffy Karamanoukian Los Angeles

Yes, there is something that can be done, but as the other plastic surgeons have noted here you need to see a surgeon to make sure that there is no umbilical hernia. If there is then the hernia would need to be addressed and at the same surgery, the umbilicoplasty can be performed.
To make it easier, I would find a plastic surgeon that is also a general surgeon who would be able to perform both the above procedures.
Good luck.