Member A and B Menus?

Is there a way to enable two different profiles to sign up/log in to their distinct Member areas?

I understand that it is possible to create custom member pages with roles, but wonder how they would have different Member’s Menus on their page?
Example: 'Member A ‘My Profile’, or ‘My Bookings’, or ‘My Subscriptions’, etc…but not on Member B’s member area?