Allegedly. I’m writing this to you at 06:15 and I’ve been working for about an hour so tell me about tired. While you’re doing that, tell me about being more creative now. Because the productivity blog Buffer wants to show us that being a wreck is a help to us, creatively:

If you’re tired, your brain is not as good at filtering out distractions and focusing on a particular task. It’s also a lot less efficient at remembering connections between ideas or concepts. These are both good things when it comes to creative work, since this kind of work requires us to make new connections, be open to new ideas and think in new ways. So a tired, fuzzy brain is much more use to us when working on creative projects.

That notion is backed up or at least given a bit of plausibility by some Scientific American research that Buffer links to. Plus the article goes on to many other brain-based issues about productivity and creativity under stress.