Depends on the power supply. If you have 600 watts on a single rail then yes. If it is a cheapy then maybe not.
You are probably fine though. That 600 watts figure is a vast overestimate that nvidia gives so people won't complain when they can't get power to their cards. I think the system you specified would only actually use about 300/350 watts at peak load. No charts on hand to back me up though.