Technically, yes. The only difference between money and an IOU is the formal paper trail (i.e. accounting). The paper trail tells where the money comes from. Granted, we as a society don't always follow the paper trail, which is perhaps what you are meaning?
What the parent means, though, is that money still needs a real, live person standing behind a promise to provide something in the future to whomever holds the IOU (money). Without such a promise, the IOU (money) doesn't mean anything. But who is offering to make that promise? Are you volunteering your services?
also the credits expire each month for extra fun
What kind of special infrastructure is needed? Doesn't your government already have a system in place for sending tax refunds to its people? That's ultimately all your $20/month is.