Quitting a CDL job after only working 1 day?

Correct, you will not be criminally charged.
Civil charges is another story... However--I would surmise that for this to be applicable, we are talking executive type occupations. For example; if their lying caused the company to lose money, they absolutely can and will be sued.

Entry level blue-collar workers? I'd think just the lawyer's retainer would make that cost benefit equation out of the question for the employer....

So--legal document.

Either way, let's just agree that it is a really bad idea to lie on an application.

Cheers!