How do I limit access to my content according to the sign-up date of my subscribers? Can I do that a

Hi, I am running a subscription based magazine site and I would like to limit access to the archives of my past articles, like, for example, a subscriber signing up in July 2013 would only be able to access articles published in July 2013, June 2013, and May 2013. Additionally, in August, the same subscriber would only be able to acces July and June; May is no longer accessible. Is this type of arrangement possible at all?