God cannot do the logically impossible like for example create a married bachelor ( self contradictory right? How can a married bachelor exist- it makes no sense),in the same way this question also makes no sense, it's like asking can God be omnipotent and not omnipotent at the same time? Also there are things that God can't do because he's perfect like he can't lie( because he's morally perfect) God cannot do the logically absurd because he's perfectly logical etc. But if you say omnipotence should include the logically absurd, then we don't even need this question at all....we can just say God can create a stone he can't lift and he can lift it( it's logically impossible to lift and not lift at the same time but he can do it)