It's easy to get something chromed. They do it all the time for people with custom cars. The hard part is getting the item to be chromed smooth. A case will have to be sanded down (by you) to a mirror finish. Any anomalies will be magnified by the chroming process.
You will be better served by buying a chrome case. I would prefer a stainless steel case.
How about getting one blued, like a gun? That would be cool.