No, we do not currently accept PayPal for MemberMouse payments. 

Because our payment system is based on recurring automatic payments, it has been our experience that there are fewer issues with missed/timed out/duplicate billing when using a card-on-file system such as Stripe. Generally it provides for a more efficient payment backend for the customer and ourselves.

As an aside, you can integrate your own site to accept payment through PayPal using MemberMouse.