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The question really boils down to can God give up his omnipitancy. Which the answer I would guess is yes.
The problem is having a rock that is so big it cannot be moved and having someone that can move anything reguardless of size are two mutually exclusive events. Meaning A cannot be true if B is true. So can God create a rock so big that he cannot move it? Yes but in doing so he would be giving up his omnipitancy but only when dealing with this rock.
Another thing he could do is create the rock and just say I will never move it. He may have power over it but never exert the power over the rock.
Or another answer to this question is yes but how we have no idea. It is beyond our comprension but to god all things are possible. Including things we cannot understand.
So ask yourself first, can you understand how a rock could exist that cannot be moved along with a being that exists that can move anything? If you cannot see how something like that can even exist then why ask the question because you cannot comprehend the answer even it it existed.
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