There's nothing to stop you writing down a theory for such a universe. I can't off the top of my head think how to include gravitons, but you can add that easy enough to the theory if you *did* know what to do.
But I don't think I could agree with your idea that you'd get a "sufficient set of chemical elements". Not that you couldn't get structure, I'm sure you could, but isn't "sufficient" also doing a lot of work? The chemistry of this Universe would be so absurdly different from our own that it's not even worth trying to understand it, so what would it be "sufficient" for exactly?
NB I'm not trying to dump on this idea, I'm just saying that it would be so different that you shouldn't lazily assume it'd be doable without trying to check. And, hell, it could be fun.