Nope. Most states are "At Will" states, meaning your employment is "at will".
You can be fired for absolutely nothing at all. Hence the big push by some special interest groups to get aboard the AA bandwagon - then they're affraid to fire you.
At will has it's good and it's bad. Here is a great case in point of how it's bad:
My bro in law was getting overpaid for about 2 years as a service manager. He thought it was a retro raise for improved service performance (thats how he's paid). It turns out that the book keeper was an idiot and overpaid 2 managers by as much as $30,000. The dealership said "pay it back or you're fired" -- and he don't have the money!