NO, and it can be whatever you want it to be, but for purposes of group discussion about a show we're all watching, there has to be some protocol so it all makes sense. I can believe every single show and movie takes place in its own reality, or that the plywood seen in some bad camera shots in TOS shows Enterprise was made outta wood, but in the end we have to have some common ground.
We might not agree on how the visuals look, but it's the same narrative continuity, and in that continuiity the writers have been all over the place when it came to money. There clearly is some kind of money, but it isn't necessarily money exactly as we'd know it, at least it is earned, allotted and governed in some other manner.