Not as far as I know, since the prop brake is released by pressurising the blue hydraulic system
via the DC Auxiliary Hydraulic Pump. And that's not dependent on whether an engine is running (and if so, which one).
Bear in mind that unless a (DC) GPU is attached, operation of the Aux Hyd Pump will draw power from the battery (DC bus 2/Ground handling bus).
Czesc! 