I don’t know whether there’s a US vs. Europe difference on this, but I failed to get my (European) bank to do this a while back when Tesla continued to take money for a subscription after I’d given the car back. (I had to kill that credit card and write the small amount off in the end.)
While chargeback laws are a bit more restrictive in some EU countries, you should always have the option to ask your bank to block future charges, without changing your card.