In Gold And Silver?
As far as I'm aware, the Johto move tutor is only available in Crystal after you've become the champion, not in G/S. Sorry. :<
To clarify, there's only one in Crystal. He doesn't exist in Gold and Silver.
Signature by Illithian
Only if you have a Transfer Pak and Pokémon Stadium 2 for the N64. Beating the Elite Four earns you a chance to relearn any move on a pokemon in your party or If you have a Gameshark or Action Replay you can "manually" replace the move.
Could A Mod Lock This Please?