Maybe you would since it's a local gym, but if it's a national chain credit card companies won't even let you initiate the chargeback whatsoever.
I had to go so far as to completely cancel my Amex account to get Lifestyle Fitness to stop billing me. American Express utterly refused to either chargeback, or deny future billings. To the point a new card number issued didn't even fix it. I was quite happy to sign a waiver that I'd take all liability.
This was after moving states, calling to cancel, and them saying I needed to fly in to cancel in person. Outright scam that the banks help enable.