Of course it's possible. Stripe could give its processor the routing and account number of its customer to deposit the funds in in place of its own routing and

Of course it's possible. Stripe could give its processor the routing and account number of its customer to deposit the funds in in place of its own routing and account number. This is why the Department of the Treasury distinguishes between payment processing companies and money transmitters. By the way, I still run a payments company, and you should not assume that you know what I know (or don't).