Yes! All Miroir projectors can be used while plugged into power and most can be used on battery power (with the exception of the MP200 which does not have a battery built in).
IMPORTANT: Some Miroir projectors have USB power cables that can be used to charge the projector's built in battery. If the projector is plugged into a USB port on a computer or battery backup device, the USB power output may not be sufficient to keep the projector running over an extended period of time. This type of trickle charge will work to slowly replenish the projector's battery power if charging the unit overnight, but may not keep up with the on-going power demands of the projector.