Andrew,
No, Junkster is correct, if you want the temperature to go below the lowest setting on the factory control then you must bypass it to keep it from shutting off the refrigerator at it's temperature. The external control must replace the internal thermostat. I originally thought that you were going to use it as a kegerator within the normal serving temperature range. Are you certain that this unit will cool as low as 32 even running full time?