Depends what you want to do. The Escapist isn't only about videos and reviews; the URL for this site is 'www.escapistmagazine.com' for a reason. Long before the reviews and Yahtzee, and long before the forums were about, The Escapist was an online magazine which would hire people to write articles about the electronic culture of today (not just games). If you want to write an article for The Escapist you just need to propose an article for a certain issue. If they accept it you then get to write an article on said topic, have it published and get money for it. Then we have [user]Kuliani[/user], who's job isn't related to videos or articles or reviews at all, but is related to keeping these forums structured and well-moderated. We also have the Tech Team, who's job is to keep this site running, when Kuliani isn't being allowed near the yellow cable that could shut down the entire network [http://www.escapistmagazine.com/groups/view/Inside-The-Escapist]. As well as that, we have the editors, section managers, artists, contributors and our all-mighty overlord, [user]Archon[/user]. Then you have to bear in mind that this website is just a small section of the other sites controlled by Themis Media, so there would be even more possibilities there.
However, do bear in mind that being a video contributor/ reviewer, whilst it does get you paid, the pay isn't all that great for the work you need to put into it. Even Yahtzee has admitted that he doesn't get that much and as well as having one of the most popular video series on the Internet, a weekly column on this site, a column in PC Gamer Magazine and his own blog, he doesn't get that much money, especially in comparison with all the work that you need to put into it in order to keep the job going.
If you want to look into it, though, best idea talking to [user]Susan Arendt[/user] first of all about it. She's one of the main editors for Themis Media (The company that own and run The escapist), so any contributions to the site have to go through her, amoung other people as well.
EDIT: She also wrote the artcle in the post below mine.