@effee,
We might also say that IF the fundamentalist conception of "God" were the case (that He is omniscient, omnipotent, omnipresent and omnicompetent, etc.) he would be able to do ANYTHING, no matter how illogical; he would not be constrained by our sense of the logically possible.
But God makes no sense, I cannot relate to the concept, ergo (subjectively, but sincerely) NO.