Camaro rear bumper center bracket rivets

[Unreal]

The originals will take serious force to flatten, so I doubt a machine shop would have the right equipment. Maybe a sheet metal shop, or a spring shop. You could probably drill out the center of the rivet, and then be able to swedge it by hand, but it won't look correct from the back.

As an alternative, resto houses sell bolts that are machined to look like rivets. I made my own using Metric bolts, because the head was larger for given shank diameter, than with SAE bolts. I just put the bolt in a portable drill and spun it while grinding the head. When I got close, I put the bolt in a drill press, and finished up with a file. You would need to lay on the ground and look under the bumper to tell they are bolts, not rivets.