No because the 5v Neo Geo doesn't have the circuitry to handle 9v to 12v power supplies. Just find a 5v 2a 2.5mm center-negative power supply somewhere online.
What ever you do, don't plug a PSU that provides more than 5v into a 5v early revision AES! I suspect there might be over voltage circuitry there but I've not checked, and in any case it would likely damage something.