If you have the required pet and the required items to complete the quest, then yes.
I stated the truth ^ Players with the pet in their inventory can still complete the quest. However, hassanakbar didn't have the pet in the first place, so the quest didn't complete. I still have my orbs and the quests are still there. When something's patched, it just means that it's been fixed. They merely made having the pet in your inventory a requirement to complete the quest.
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