No, a car can't run for infinite distance even once at its final speed, unless you're talking about the kind of theory that doesn't involve friction, drivetrain losses, aerodynamic resistance, or even things as simple as having a radio turned on (not to mention headlights)

Sure. These are practical things. And practically it can't.

Friction forces have been core theoretical concepts since many centuries.

Friction, mechanical losses and drag aren't concepts covered by physics theory?

Guess I must have been asleep during my Dynamics classes...

You forgot to account for the ramjet.

Theoretically an electric circuit can operate with zero heat output using perfect conductors.