No.
So just to be clear: you believe a storm can only form if God takes direct action at the time of its formation--it's not enough that He set up rules for things like that to run themselves as He saw fit. Is that accurate?
If you don't believe in undirected natural processes, then obviously you don't believe computers can model them--computers can't model something that doesn't exist. It seems to me that renders your opinion of genetic algorithms in particular rather moot--certainly GAs would be no better than anything else at doing the impossible.
No. God is timeless. God is omnipresent. God is omnipotent.
Sure it can. You aren't implying that the game "Doom" does not exist? Or are you implying that the characters and the world of "Doom" does exist? How about Dr. Freeman and "Half-life"?