Not when you are the reason both possibilities exist, FK! The "choice" God makes, then, must come from possibilities He created. That would make God subject to His own creation!
How do you define "creating a possibility", and what makes you think God must go through this exercise in order to make a choice? Do you agree with Jesus in Matt. 19:26 "... with God all things are possible"? If all things are possible, and yet not all things happen, how can you say God does not make choices?
If God has more than one choice, that means He must have created more than one possible decision. God Is, He is existence; He pre-exists everything that is; everything that is comes from Him.
Thus, if God makes decisions between various possibilities (which are by necessity His creation, or else they wouldn't exist), then He is, by necessity, limiting His will to His own creation.
I doubt that God ever wondered which choice He should make.