[bkanber]

Yes, it would! Fuel lasts about 30 days before it starts to oxidize. That basically starts to leave a gunk behind as the gasoline both oxidizes and slowly evaporates from the not-quite airtight tank. The fuel in the injectors evaporate and leave grime behind, clogging them, and this happens in many other places in the engine as well. The process starts after about 30 days, and by a year you're almost guaranteed to have fuel so rotten/sticky that the car doesn't start, or just barely generates power.

The Volt, BMW i3, and basically any other car with a range extender periodically run the engine in "maintenance mode", because it's good to circulate fluids, burn off some gas, and take some load off the battery for a while.

If you need to store a car for more than a month, you should top off and add a bottle of fuel stabilizer before driving home.