It's not a touch screen, just a monitor. It's the media player that runs it you have to research.
http://www.lgecommercial.com/digital-signage/products/media-player/lg-MP700
It seems to run Windows 7 and you can hook up a keyboard and monitor. So it's possible it would play a game. however the public may be able to circumvent the kiosk mode if you give them a keyboard.