"Is God subject to human knowledge?" is the way the question usually goes. It's actually backwards. "Is man subject to God's logic?" Yes. Logic is an objective, necessary feature of the universe, of minds. It's not a contingent fact of this created world. It's the way human minds function because we're created in God's image and it's the way His mind functions.
So God isn't subject to human logic. Humans are subject to God's logic.