What do you define as "rich?" I know a few people who worked for decent-paying (60k+) companies their whole lives, got stock options, made sound financial decisions and retired with at least a million in the bank. May not be as glamorous as winning the lottery or hitting it big on Wall Street, but it's the way to financial independence for the average American.
And don't tell me you can't do it... anybody can get financial aid and work their ass off to get through college if they are motivated enough. It's not fun, it's not easy, but it's entirely possible. If you don't have the credentials to get a good job, that's your own damn fault.