Hi,
I've been using a stand alone solar power system at my house in Australia for the last 15 years (i.e. no mains power at all). I originally had a 48v 1500A/H battery bank, and a 2.5kw solar array, but about 3 years ago we upgraded the system when we bought the Volt to 10kw of panels. Around the same time the original battery bank started to fail (about 3 of the 24, the rest were okay), so I swapped out for 940A/H of gel batteries.
I charge the car very comfortably at the 10A rate on our 240V system, and it's finished after about 6 hours. Overnight I let the car charge at the slower 6A rate off the bank, and usually find we're down about 300-350A/H in the morning (depending on the time of year I can usually squeeze an hour or two of usable recharging in at the end of the day). With 10KW of panels I recoup that in a couple of hours and we're always in float at the end of the day.
Our inverter is the original one which is 5KW continuous, so the 2.5KW draw of the car at 10A is no problems at all. I've spoken to a few other people who charge their Imiev off their system much the same way.
I'm assuming this is what the original question was asking. Looking at my inverter the car generally seems to draw about 40A/H on the DC side at 6A 240V or around 60A/H on the DC side at the 10A setting. If their PV is capable of meeting that load then there's really no problem. It would just depend upon whether or not they have enough battery capacity to consider charging it at night. Since we have the benefit of the engine as well, sometimes if it's particularly rainy we don't bother since I'd rather have the house in float each day than run it right down and then have to use the generator. That said, with 10KW of PV I can still charge at the 6A rate and get enough power to meet that on an overcast or lightly raining day.
We've been thinking of getting a Tesla model 3 or the new Leaf, so getting an L2 charger for the Volt would be good so we could get it charged and out of the way and then spend the rest of the day on the other car.
Anyway, the bottom line is it's quite doable if the system is sized correctly. We run an air conditioner, welder, clothes dryer etc off our system without any problems at all. Some off-grid systems might be much smaller for cabins etc, and that might present a problem, but for a residential style setup that is setup to run normal household appliances, it shouldn't be an issue.
regards,
craby