Although I'm almost certain that it's possible, can I connect two sources that require ground (green wire) on only one ground (green) connector on the PSU?

Replacement PSU has only one ground female molex connector and I need to connect two cabinet ground male molex connectors (one ground is from the coin slot and the other were the controls are). I know, it's a dumb question and I should know better, but I just want to make sure.

Thanks everyone!