Can users request that their password be emailed to themselves if the password is stored as a hash value?
Is there any way to convert a hash value to the clear text value with the proper information (& what information would you need)?
If a user has the same password hash value stored on two sites, would their password be the same for both sites?
If you're only storing a hash of the password, then no. ...and you should only be storing a properly-salted hash of their password, anyway.
Password reset mechanisms are the proper alternative.