The short answer is yes. The rotor needs 4 ohms minimum to generate enough volts to charge. You need a new one.
The bad news is that the rotor usually takes the regulator with it. The regulator works by passing current through the rotor to generate output current. The regulator passes a proportional current into the rotor to maintain sufficient output. If the rotor is shorted out it will never generate enough voltage to charge and the regulator passes more current to the rotor trying to bring the voltage up until it fries. This doesn't take long, so check your new regulator as well.
Livin' my life like a song.
1985 Honda Rebel 250 - "Birdie"
1979 CB750K - "Behemoth"