There's a bunny in Japan who won't let their human stop petting them, and he throws a tantrum when the stroking stops, which apparently isn't an uncommon rabbit behavior.
But as far as I know most owls don't care much for physical interaction with humans, so they certainly don't strike me as the type of animal sitting around waiting to be stroked by some human.
However Nicha, the cute little pet owl in this video, is both a fan of people and petting, and she complains loudly every time her human stops scratching her cute little head.
-Via Laughing Squid
Love cute animals? View more at Lifestyles of the Cute and Cuddly blog