Range is determined by size of battery pack. A new charger won't give you additional range.
You are probably also reading your charger rating wrong, 240W is a very very slow EV charger.
I am assuming you meant 240V charger, that'll charge at about 2KW.
I'd be very interested in Vehicle to Home charging. An EV essentially becomes a battery, owners can use solar to charge the car during the day and use the car's battery to power the home after sunset.