Yeah, he's a professor that gets the oil from restaurants. Most people would be hard pressed to find enough oil to do that.

We know of a guy (second hand) with a Mitsubishi electric doing just that,suburban living.They have found about 90% of their car time can be done with that car.He uses about 1000 watts of solar to keep it charged.And they are grid tied.

They are retirees.
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Mitsubishi Electric Car

On Sale in US Date: January 2012. Price: $27,990 – $33,230. Main competitor: Nissan Leaf

Powertrain: 49 kw (66 hp) AC synchronous electric motor; 16 kwh lithium-ion battery pack; Rear wheel drive.

EPA Fuel Economy/Range: 112 mpge; 62 miles

If the "make your own fuel" part of your question assumes pretty much a total breakdown in the supply chain, then growing your own crops and then distilling alcohol sounds more realistic than growing crops and then pressing your own vegetable oil.

While both alcohol and vegetable oil have multiple uses, I think the value of alcohol for other uses, like barter, will likely be higher than an equal quantity of oil. And that freshly pressed oil is going to go rancid very quickly since it isn't hydrogenated like commercially prepared oil while the alcohol can last a good long time.

Also one can always switch to the trash gasifier regardless the type of the car's engine: http://www.treehugger.com/cars/diy-trash-powered-gasification-car-video.html

If kept in a basement or root cellar, olive oil stays good for over a year or more. I imagine sunflower oil would be similar. And of course, alcohol is optional. Fats from oil are a critical part of human survival. Although if you made good hooch I imagine you could trade it for just about anything you'd need.

Remember that in most places that the distilling of ethanol is illegal, without permission which is not readily obtained.
Who cares after TSHTF, but it does limit practising or experimenting whilst times are more or less normal.