Sure, it leaves space for anything. It leaves space for (any) God. It doesn't make it useful to consider it though. There are literally an infinite number of things we could make up to explain it, but that doesn't make them equally likely. The most likely is the one that doesn't require strange assumptions, like the universe caring about consciousness, or that particles are conscious like another person said, or the hand of God literally reaching in to set the states exactly himself. Some hypotheses shouldn't be entertained because they require so many strange assumptions they're essentially useless and just a waste of time.