Unless fraud is involved, no. They might garnish your wages, seize assets, etc. but you won't go to jail.
It has to be a lot more than 200k, but the principle still applies.
If you owe some government 500 billion, you are probably also a government.
I think it's even more true in this situation. If you or I owe the IRS $2000, they're gonna come after us and get all their money. But if EvilCorp owes the IRS $200-million, the lawyers will argue about it for 3 years, and in the end, EvilCorp will end up paying less than half of the original amount.