There are no reports of FlyBE being unable to pay bills at the moment.
No, but
this doesn't make for great reading. Every large company now has to report publicly on this. With 73% of invoices not paid within terms, it's one of the worst performances of any UK airline I could see. I haven't checked off every single one, but I could only see one worse report and that was one of their franchise partners... In fairness to Flybe, the TCX report doesn't look marvellous either.