Possibly but, that was not my reason. The unit is made to plug directly into the wall. I suppose one could use an extension cord, feed that into the chamber and the cord of the regulating device. It really looks good for the cost, particularly the sales price.
I have that unit, but I use it to control a wall heater in the basement. Works great and should be adaptable for your use. Only problem is that you are going to be only heating or cooling. You would need to pull the plug and switch devices.