Yes and no. Yes you can do it, but you are going to have to prove that the reason why you HAD to quit was because of over stress. Its hard, but doable. You can however, quit your job or (and mind you, it might sound bad) get fired. If you are under stress and get fired, you should get severance and you can file for unemployment.. Now, I'm not sure how it all works, but I've heard a few people who have actually done it. NOT MANY get away with it. But its been done!
Hope this helped.