I have an electric car, and solar panels. The answer is still no. My electric car is so efficient that it's not the largest component of my electric bill. I have gas cooking, heating, and hot water; and the electric bill is three times the car bill, in December. In the hot summers, the AC can kick the daylights out of the Tesla in terms of power consumption.
By the way, electric car travel is NOT FREE. There is significant capital expense, just another way of financing energy usage. My solar panels spread this capital cost over their usage period (I pay an "electric bill" for the solar power I use). It's all just a financing shell game. You can make one number $0, but you can't make them all $0. As folks have said, they want to charge my electric car a "gas tax" to pay for the roads. They even want it to make noise, so kids and folks don't walk in front of it.
None of this transportation power shuffling does anything about industrial power consumption. You're not going to like the price of aluminum foil made with solar electricity. High power industries need the high power density low cost power that renewables can't provide.