Yes, if the gate current is not limited, it will damage the J-FET because the gate diode junction will be forward biased and a huge current will flow. If the gate is connected to +V via a high value resistor, say 10M, it will conduct more current, than it would if the gate were connected to 0V: it's possible to run J-FET in enhancement mode to some extent.
The gate will need to be connected to a negative voltage to turn the J-FET fully off.
I couldn't get the link to work, perhaps they've confused J-FETs with MOSFETs?