Unless you are booking a reservation that requires prepayment or is otherwise non-cancellable, which is not the stsandard, then no you will have no problem.
I have never been charged for a no show reservation, just because they have my credit card. They need authorization to charge it, which would be your agreement based on actually picking up a rental or agreeing to a rental that had a no show charge in the rules.
Rental car companies do want to move in that direction but so far on the whole have been unsuccessful with it.