If I hadn’t attended a free public school, then sure. But since I didn’t pay anyone for my education, I don’t know what money they would owe me. I also don’t believe in suing people for every possible thing, so a definite no to that, especially since you have the option to switch schools (in most cases.)
There is the complication of determining what a bad education actually means, but if these refunds were a real thing, I’m sure there would be specific criteria.
In college though, you can – in my experience – withdraw from a class and get your money back if you’re not happy with something. So I do think that if you’re paying for school you should be able to take your money back if provided with a crappy education. It’s a business transaction. If I bought something and found that it was broken, I would surely not be expected to just shrug it off and let that money go to waste. That being said, there’s a difference between getting a refund for something that doesn’t work right after you realize it does not work, and waiting until you’ve gotten as much use as possible out of it before asking for your money back.