It'd have to be part of the checkout flow for customer certainly, so either the payment processor or card network would have to make it happen since there are so many issuers.
Can't speak to Chase, but Amex offers this post purchase with a fee. Could offer it without the fee considering they're charging the merchant fee anyway, but I suppose they've done their revenue research.
https://www.americanexpress.com/en-us/credit-cards/features-...