Is Haikyuu!! Quest Picture Drama hentai?
No
Rated PG-13 (Teens 13 or older) on MyAnimeList and not tagged as Hentai.

OVA · 2014 · 3 episodes · PG-13 - Teens 13 or older
Comedy, Fantasy, Shounen, Strategy Game
Picture Drama episodes from the special contents DVD bundled with the Haikyuu!! 3DS game.
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