If you have a corporation with no assets and very little money, can you file bankruptcy on a workman's comp case if the company doesn't have insuran

Generally speaking, yes.

Corporations are not eligible to discharge debts in any bankruptcy.

It would be difficult or impossible in most states to accomplish that. The obligation to pay WC comp can fall on the owner of the business, and if he, rather than the corporation, filed bankruptcy, it us likely that the WC carrier would argue that the debt is not dischargeable in bankruptcy. Consult an experienced bankruptcy lawyer in your locality.