No, and it's highly unlikely considering that Crypton have stated that they won't give their Vocaloids official animes.
He's made a cameo appearance* in Zoku Sayonara Zetsubou Sensei but that's the closest you're going to get to an anime with Kaito.
. * A Kaito like character is shown but does not have Kaito's colours.
What Serza said and the manga is the closest you'll get to Anime, though they said they would make one... not sure if it's true.