Yes. It's pretty common in New Mexico today to have your swampo cooler
tied into the hot air heating system. Of course swamp coolers don't
work as well as they used to. Tremendous increases in lawn irrigation
and swimming pools has changed the humidity over the years. In the '40s
and '50s swamp coolers were common in many Dallas homes. Today they
don't perform well there.

RB

TCS wrote:
Is it possible to connect a swamp cooler to the ducting of a home heating
system so that the cool air will be distributed throughout the house?

for those of you who have no idea of what a swamp cooler it, it is a cooling
system that uses evaporating water to cool forced air. Air is drawn from a box
where 3 or 4 sides are wetted pads and when the water evaporates it drops the
air temperature up to 40 degrees depending on the dryness of the outside air.
Swamp coolers only work in dry climates.