If they have this it's another reason to use them for automatic billing. I have tried to do this with a VISA card and they said they cannot do it; the only way to prevent future charges would be to close that account entirely and even then I might still get billed for some period of time.
But to add - I discourage you from using chargeback as a feature to stop future charges. Most banks will report it to your credit bureau - you won't see it in form of points being withheld BUT it might be adverse for you when you try to get a loan, etc. My mother disputed way too many things (memory troubles at her age) and they did not renew her CC after expiration date and MasterCard told her she is not eligible for card with her excessive CB ratio.
I never knew this! I have heard about companies banning you if you request a CB, which would be really bad for things like Google, Uber, etc.
I usually end up having to dispute a charge only once a year or so. It has surprised me over the past few years how lacking AMEX seems to be in its "investigation". It at least used to take a few days and they'd sometimes ask for documentation. The last one I did got turned around in maybe an hour.