Not if entity is infinite.
What does that mean?
The acts don't define the one doing it.
True. But the acts DO define the context in which they take place.
The verb "to create" implies temporal conditions. I'ld be willing to acknowledge something like the fact that our language was developed to comprehend "classical physics". Meaning macroscopic objects traveling at sub-light speeds. We aren't wired to comprehend what happens inside a black hole or at the quantum level.
However, the entire basis of classical theistic doctrine is simply not compatible with an entity in a timeless context. First, there's the thing about "creation" (it even speaks of
days - sounds pretty temporal to me). Then there's the thing about that entity intervening
at different points in time.
After stuff went down that he didn't like.
Everything we read in the bible about this entity, clearly assumes that the entity is subject to temporal contexts. It clearly assumes that he is subject to some time dimension.
Basically you're claiming that in infinite being would be unable to do finite things.
First, I have no idea what an "infinite being" is. And I doubt you do.
Secondly, ignoring the non-sensical notion of an "infinite being", it's not about what it can or cannot do. It's about what words mean and simple logic.
If there is an entity (of whatever form) that plans things, does things, intervenes in things etc.... then time passes for that entity. It needs to make decisions and engage in planned actions. All those things require a temporal context to take place as they are sequential events.
At least, that is what physics tells us. If you are going to engage in special pleading and say that none of those rules apply to your god of choice "for some reason", then there's nothing left to be said. Then I can only shrug my shoulders and move on.
You speak about an "infinite being". I don't know what that is.
You claim sequential events can take place without time passing. I don't know what that means.
By extension, you claim an "infinite intelligence" can exist without a physical brain. I don't know what that means.
It sounds like nonsense and I'll assume it is until you can point out otherwise.