Probably not. The device has an actual running time of 8 hours. How long were you playing the game for? Let the tablet cool down, charge it then see what happens, it is possible the device might need a new battery.

Make sure your power supply is on, if the charger is plugged into a surge protector that is not on, no current will be sent to charge the device. Try charging the device in a different outlet, with the charger port directly into the outlet.

The tablet should be reset. If you press and hold the power button and home button for approximately 10 seconds, the screen should reset itself along with the device.