If the car gives an electric shock because of a faulty home circuit, it will almost certainly trip the ground circuit breaker on properly installed electrics. This happening on the car side of the charging unit can hardly be because of a fault on the home circuit side. It would mean that there would be current on the ground wire into the car. It probably wouldn't even switch on the charger.
I think it is most likely that moisture is producing an earth leak in the charging wiring in the car. Possibly the home ground circuit breaker in the house is malfunctioning (although not necessarily, the car is isolated from the ground by the tyres)