No, If you wait long enough (12-24 months of inactivity) they'll email you a magic "open sesame" link that bypasses the login screen. No account password or session cookie needed.
There's several interesting things about this:
1) You could modify the "open sesame" link to login as anybody else who is inactive.
2) Your profile will be slightly broken, as they do numerous software updates weekly apparently without migrating inactive account data reliably.
How do I know this? My gf handles 100% of our social media presence, so I just have a FB account for occasional software testing. HTH! :)