LastPass - Can My Stored Passwords Be Made Available Offline?

Offline access is dependent on login type

If Your Vault is Protected with Master Password Login

Yes, you can enable offline access by following the instructions on LogMeIn's support page.

Please Note: For offline access, your stored passwords must not be hidden from view in your LastPass Vault.

If Your Vault is Protected with NetID Login

No, however, LastPass (LogMeIn) is currently scoping this functionality. To mitigate any concerns, NetID Login is a reliable service and LastPass Enterprise sessions will remain active for 14 days (unless you manually log out sooner).