Hi David;
The newer inverters can handle the output, but would need a large PV array to drive Level 2 @7200 W charging offgrid.
Current EV car batteries are ~~ 75 kWh capacity, so require ~~ 10 h of Level 2 @ 7200 W for complete charging; ~ 10%/h charge to the EV.
A sizable offgrid PV array of 7000 W nominal might take ~ 10 h of full sun to fully charge an EV battery.
In contrast, Level 1 charging at ~1500 W can often run for ~ 5 h/day from an 7000 W offgrid PV array, in parallel with domestic usage, giving about 2% charge/h or 10% day to the EV.
This all comes from my experience.
At home, with grid tie solar; Level 2 charging generally outruns our instantaneous PV (11400 kW nominal).
At an offgrid place (6700 kW nominal PV) we use Level 1 to gain ~ 10% EV charge daily, once the domestic battery bank is full.
A large offgrid battery bank is ~ 30 kWh capacity, so charging the 75 kWh car from an offgrid battery bank would drain it in less than a day, but it is useful to even out cloudy patches etc. during charges.
This comes down to use cases, adjusting from 'Drive to the gas station on empty and get 600 km of range for ~$75'.
~ 5 h of Level 1 is sufficient for most users, most days, to get back ~ 40 km or so.
~ 10 h of Level 2 gives the convenience of a 'fill up' over night or in a day, ~ 400 km or so.
Level 3 is (often) expensive but only used on road trips, ~ 300 km in ~ 30 min or so.
Pee break plus snacks.
Some people drive 100's of km a day and have no /limited charging infrastructure, and large bladders :)
But most people do not.
cheers Doug