No, the Battery clip + Red has it's own pin on a 3 pin 2.1mm panel mount Power Jack so when you plug an external power supply, the Barrel disconnects the Battery from the Circuit or you would Fry the Battery.
You need a Stereo type Input Jack for the Battery option, Input lead is Tip, Ground lead is Ring, - Black battery lead is Sleeve.
This is so when you unplug the Mono Input Jack lead from the pedal, It disconnects the Battery.