Yes. Both my Miatas did the same thing. The garage floor looks like a mini black and white Jackson Pollock painting on the ground where the exhaust tip is.
Somewher I read that burning 1 gallon of gasoline produces 5 gallons of water. Most of it escapes as water vapor when tempertures are hot; when tempertures are cold condansation forms.
Perfectly normal... In fact that is one reason cars that don't get used much (trips 10 min or less) always need their exhaust replaced. Water forms in the exhaust system, then stays because the car never gets hot enough to burn it all off.