The idea is in principle fine. Using any power source you can make something resembling a car. From ethanol to gasoline to rocket fuel to a bunch of cats on a hamster wheel and the food you give them.
A plutonium car would be a bit much. For one, cars aren't using a very small load of power continuously, they use a lot of power intermittently.
Two, plutonium is expensive, we get most of it by literally making it from other elements essentially atom by atom. This makes it a bit more expensive per joule than gasoline.
Three, plutonium is decently dangerous.
Etc etc.
Technically possible, not a practical alternative.