Yes you can. Go into your World of Warcraft-Folder.
There you take this path to find your OLD CHAR: WTF > Account > "Accountname old" > "Realmname" > "Charname of your Hunter". Copy this Charname-folder (STRG+C) and now you take the exact same steps to find your "new" Charname Hunter-Folder. Delete that folder, paste the old one and if needed, give it the correct name (if you changed the characters name).