[Membership] Need customization help if possible

Membership has the functionality to create Dripped memberships and to reveal content "X" number of days/weeks/months after the start of the subscription.

Is it possible to also have an option to restrict access to certain content types published up to 2 months prior to the start of the subscription?

What we are trying to do is set up memberships to allow access to all video content posted after the start of their membership, and would like to also restrict their access to only the most recently posted videos before the start of their membership.

So, for example, if a user signs up on Dec 01, they would have access to all video content published from that date forward, but would only have access to older video content published from Sept 01.