That's not really a problem for cars, unlike planes.
You sound like you haven’t enjoyed the thrill of owning an old British car.
Fuel sloshing out or mangling the handling on cornering was a feature of British Leyland. I miss my cursed ‘68 Triumph 2000.
I mean it could… Just not a great idea.
Make for some expensive litter.
You could use a metal-air (such as Al-air) battery for this. You'd get _much_ better range than any lithium battery will give you, except it's not rechargeable.
In that case, it would increase in mass though.
Could always burn the lithium to heat a boiler and turn the tires.