If you mean protecting files from the user, I think the answer is βNo,β you cannot. user can simply copy files.
LocalDB always works under the security context of users; that is, LocalDB never starts with credentials from the local administrators group. This means that all database files used by the LocalDB instance must be accessible using the user account of user accounts , without considering membership in the local administrators group.
See the "Permissions" section in SQL Server 2012 Express LocalDB for more information.
, .NET Framework TSQL, , TDE ( ) LocalDB.