Thankfully, banks in general are in a stricter regulatory environment with a government-level watchdog you can escalate to, though that might not apply for electronic money institutions (or whatever the US equivalent is).
No, why do people think this? In the US banks have a right to refuse to do business with you for (almost) any reason and refuse they do. They are more likely to ban you than eBay. There's no right to have a bank account, there's no right to keep your back account - full stop.