Probably, yes. You would likely have to get some extra outlets in there. Always remember that even if a room has like, 4 outlets, most of the time those 4 outlets all go to the same single circuit breaker. Try to estimate your amperage draw on a per-room basis and not a per-outlet basis. If worst comes to worst, if you have the know how, go and wire in a couple extra outlets to a new circuit or too. If you dont have the know how but you have the cash, call an electrician. Say you're putting in a sound studio or some shit.
To estimate your amperage draw, take your watts and divide them by your volts.
You have 6 600w lights, so 3600 watts, divided by 110v, gives you 32 amps.
If you switched to 220v, you'd only be drawing about 16 amps off that circuit, which gives you room for more lights later on.