Assuming you're in the US, new solar modules go for about $0.28/watt.
If you dump the entire $1k into just modules, that will get you about 3.5kW of panels. Which will probably hit your target on sunny days during the summer.
But that doesn't include inverters if you want to do a grid tie, or batteries if you don't, or wiring, or whatever you're going to mount the panels on.
Another way to think about this is that $1,000 is about 20 tanks of gas, assuming you get 400 miles per tank that's 8,000 miles, which is less than a year of driving for the average American. You can increase your budget and still come out way ahead.
The other consideration is that this scheme only works if you only drive at night, otherwise you'll need a battery to store that power while your car is out and about during the day, or you'll need to grid tie and use the grid as your battery.