Membership Plug-In for lateral users/levels

We are creating a WP site with 15 lateral (non-hierarchical) groups. 90% of the content will be available to all members of all groups. The remainder will only be visible to members of one of the 15 groups. Eg. Red, Green, and Blue groups.

When logged in all three can see common content. However there is content that only Red members can see. Blue members can only see Blue content, etc.

Is this possible with the Membership plugin? It appears to be only hierarchical.