A ground fault is when power finds a different path to ground instead of through the expected wires. Think of it like an electrical leak. If you haven't had the problem before, has anything changed? It could be the FFE, but you could try another L2 charger to verify.
It could be in the EVSE or the FFE. 240V comes in on 2 wires on the J1772 connector. There is also a ground. The EVSE could be detecting an in-balance of current between the AC terminals. If any power makes it to the ground wire in either the EVSE or the FFE, the EVSE will detect it and shut off. Suppose a frayed charging wire in the FFE happened to touch the sheet metal of the car. You come along and touch it. Current could go through the wire, to your sheet metal through you and to ground. But instead, the EVSE will sense it and shut off before you have the chance...since the FFE is likely grounded through the ground pin of the J1772. That's what it is suppose to do, but if something is in error somewhere, it could be falsely triggering...or even correctly triggering. If you test on another L2 and it works, it is likely your EVSE.