Is it possible that water is being blown in from the AC from a 1995 Buick Skylark if the floor in front is getting wet without rain?

sounds like the drain on your ac evaporator core is plugged up. A service station should be able to blow this out.

I own a 97 Buick Skylark with this problem (saturated floors on passenger front and back) but the water does seem to accumulate more after during and after a rain.