God surely doesn't inflict natural disasters that indiscriminately harm the good and not-so-good alike if only because this isn't a push button world. I.e. God doesn't push a hurricane button to smite New Orleans. I think the Book of Job conclusively establishes that there is no 1:1 correspondence between our godliness and our reward on earth. There's stuff we just can't understand. But we do know that He is a good God who loves mankind.
Eugene is clear that he doesn't think Christians generally, or religious people generally, think this but that there are a bunch of people who call themselves Christian (or whatever) who do.
But the answer clearly is "no."