Elite 300 - Charger 2

Is it possible to connect the Elite 300 to the CHG port and BAT port at the same time?
CHG port of the Charger 2 to DC in of the Elite300
DC out of the Elite 300 to the BAT port of charger 2.

Goal of this setup would be, while the engine is running the alternator charges the Elite 300 and if the ignition is off the Elite 300 charges the car battery.