Yes, but it has a variety of very unappealing physical properties. I mean for one thing, no one has all that information in the first place, but it would also be a theory were large scale correlations between outcomes would exist with space-like separations which would be weird, though clearly not impossible. T'Hooft's cellular automata approach has these properties and I guess its valid, although I don't know if it can be used to make non-trivial predictions.