God can/has meted out punishment through disasters but only rarely. Always preceded by a warning from a prophet of God.
Bingo. As far as God's wrath on sin, Paul addresses that in Romans 1. "The Wrath of God is revealed from heaven against all ungodliness and unrighteousness of men..."
The wrath Paul goes on to describe is God removing his common grace and allowing man to descend into his own immorality. That is how God reveals his wrath in the present age. Of course, ultimately, every person will be subject to judgment.