What we're doing here is akin to taking the text of Moby Dick, locating specific words therein, rearranging them to create a passage from Fight Club, and concluding from this evidence that Tyler Durden is based on Ahab.
More complete answer:
No. Indestructibility means that destroy effects do not put your creature into the graveyard. The aura is destroyed, but not the creature.
Guildmaster Jarad
Edit: Sarnath'd
More complete answer:
No. Indestructibility means that destroy effects do not put your creature into the graveyard. The aura is destroyed, but not the creature.
Edit: 'Nathed x3