Memberships + Logic = CRUD?

With the introduction of Memberships and Logic, is it now possible to natively create a scenario in which a user logs into their account and create/read/update/delete their own CMS items which are stored privately in their own account?

All of my searches are yielding results from before the introduction of Memberships and Logic, so I’m unsure if it’s achievable natively or whether I’d need something like Memberstack or Wized.