It can happen. Ten years ago, there was a young Flight Despatcher working for our all jet airline. He had acquired his CPL and was as keen as mustard. I took him for an informal assessment in a C 172, as part of which he flew two immaculate instrument approaches in a very busy ATC environment.
I wrote a report and sent it to our Chief Pilot, who of course knew him. The Chief Pilot said that he was impressed, but he needed more hours, so our lad resigned his job and went to Guam to fly Cherokees around the islands. Two years later he was back in our company, on his way to the RHS of an A320. And he wears glasses!