yes, there are critical hits in the anime. In the episode "a rival battle for club champ", trip's tranquill scores multiple critical hits with aerial ace on ash's pokemon. Also, in the episode "Pursuing a lofty goal" paul's honchkrow scores a critical hit with sky attack on provo's dragonite. And no, there are no critical captures in the anime. Source: Bulbapedia, and my TV, as i've seen the rival batttle episode.
