This has been done in the past but by digging through CEOs' history. For example a good number of them put fake school credentials on their resume.

Someone would go to the university and search their records and sometimes find CEOs lied. He then would take a short position in company's stock (if publicly traded) and release the info. Sure enough, the stock would drop, and he would gain. SEC didn't like but I think the was nothing they could do as it was technically public information.