Can the hotel charge a card without my authorization?

I accidentally reserved two rooms when I only needed one. The front desk employee told me not to worry about it but the manager I talked to later told me I’d have to pay a cancellation fee for the other room. Days later, she charged a fee to the card I swiped to pay for the room I purposely reserved.

This card was not on my bonvoy profile and it’s not the card I made the accidental reservation with. I never authorized the charge or signed for it. I know the reservation was my fault. My question is can they charge a card that’s not on my profile or on the reservation that I didn’t sign for. I’m titanium if that matters. Thank you all.