No, not unless your vehicle has Air Conditioned seats (I believe some LS models with lux option may have this, no GSs have this feature).
However if you have AC on in the cabin directed at your feet, or rear AC ventilation on which comes out under the front seats, then that colder air will be drawn into the seat by the ventilation fans. The fan that ventilates the seat back is much less effective in this instance as the air behind the seat will not be that cold.