Yes, you can install microdermal or transdermal, for example.
These are microimplants that are installed under the skin and have a special rod that protrudes outward, on which jewelry can be wound. It is already possible to attach buttons for a patch on them.
This is all quite simple and is not a plastic operation. I would advise only to sew on real buttons so as not to burn.
You can do this with the help of ordinary microdermals, inserting buttons as a wrapping (you will obviously have to make it to order, however), it is not necessary to bother with plastic surgery.