Yes, Flash Porter has a 3600 mAh battery that can copy up to 200~250GB of photos and video on a full charge. The battery can be charged in the device with the AC Adapter that comes in the box.
It’s also possible to use Flash Porter with the AC Adapter connected. When the AC Adapter is connected, if the battery is also connected, the battery will charge up. Flash Porter can also be used with no battery present and AC Adapter connected.