Nope.
Harvard doesn't vary charges across students this way. Depending on who you are, the University can charge you the equivalent of a couple hundred bucks to dozens of thousands. Kvothe is often charged minimal fee and can barely afford it. He can only afford it because he puts all his investment in it. Actually, no, as a matter of fact, he can't afford even that because he needs to use Devi's exorbitant services as a loan shark to even stay in the game. Your poor if you can't afford to buy a shirt or shoes or wash your clothes, buy more than a strict allowance of food, or even paper and ink to take notes for class. Paycheck to paycheck would be a generous way to describe his situation. He has to work multiple jobs just to make ends meet and any minor disaster can ruin him. This is not middle class. This is very, very far from it.
And even if you were right, how do you propose he fix it. Idiot plot implies that Kvothe has an easy solution to his poverty that he isn't using. Does he have a magic wealth stick that I somehow missed in my reading?