Are Deities Like The God of Theism Metaphysically Impossible in Informational-Complexity Terms?

There's a silly 'conceptual paraphrase' of Bostrom's simulation argument doing the rounds among the clever Gen-Z-ers and Millennials at the moment. It's 'Prompt Theory'. You guessed it. It proposes we're not only living in a simulation but we are also the result of some kind of pan-dimensional 'AI prompt'.

This humorous prompt theory proposal got me thinking about what is required in ontic-structural and informational terms (and functional terms) to get anything associated with life in the universe happening. 

We don't know of anything life-endowed (and I am using the term in a set-theoretic sense since we don't have much idea what life is or how we get it) which does not have as a necessary condition very structurally and processual-ly complicated (and in most cases complex qua non-linear) systems as an apparent necessary condition. 

So that's the first thing. What we would classify as living entities/systems are the most complex entities/systems in the universe in informational, structural, and processual terms. It seems like that level of complexity of structure and information (processing) is a necessary condition for life.

The second thing is that (the Boltzmann brain hypothesis aside since Boltzmann brains emerge from pre-existing structures and processes anyway) it seems like gradualist, complexity-cumulative evolutionary processes - cosmological, and then chemical and biological - are the only kinds of processes which are able to produce these necessarily very structurally and informationally complicated and complex systems.

It would also seem that the massive amount of information-processing resources necessarily required to produce anything involving life - and certainly the information-processing-intensive human technology artefacts produced by human life such as AI systems - would tend to suggest that a being or entity with the ability to 'prompt' or 'code' such outcomes might not themselves be possible under any circumstances. Perhaps even with a proposed gradualist informational evolutionary process there might not ever be enough resources available to produce an adequately powerful information-processing entity which could achieve those ends by design or intent. (Emergent teleonomic systems I am less sure about, but those are a different thing.)

So perhaps the God of theism and deities with similar properties are simply information-metaphysically impossible unless those beings also emerged on a overarching gradualist basis of structural and informational complexity accumulation?