I am explaining by example:
A customer goes to the website and buys a service and opt for recurring payment. To complete the transaction, customer is redirected to the PayPal site. Customer does not have PayPal account and opt to pay via credit card. In such scenario is it possible for a customer to complete the transaction as a recurring transaction. If not then it is OK, but if it is so then later ON how customer can cancels this subscription as he has no account to log on to PayPal.
While Chris Kuehl is right for Website Standard Payments, you can use Website Payments Pro (WPP) to set up recurring payments using the WPP API. Using the WPP API will allow for recurring payments to be processed via credit card without the customer needing to use a paypal account. For more information on how to use WPP, see: https://cms.paypal.com/us/cgi-bin/?cmd=_render-content&content_ID=developer/e_howto_api_WPWebsitePaymentsPro
or download the WPP Guide in PDF https://cms.paypal.com/cms_content/en_US/files/developer/PP_WPP_IntegrationGuide.pdf