Cats have different personalities, I know two cats that would attack ducks both in a playful manner if they where to be introduced to them but that playful manner would prob injure the birds. And I know another cat that we have he doesn't want anything to do with the chickens and would steer clear of ducks too I assume.
The breed of cat and age can help to know aswell possibly. So all up there four cats I have in the close relations around me, two of them would attack playfully, the other one is too old he was once the most hardcore cat but his old now an got hit by a car and just wants to relax these days U know, he avoids chickens for the most part even but still catched mice n rats. The other cat is to timid and wouldn't hurt ducks. Two that would attack in playful way are British short hair cats.. the old one whose tough but can't be botherd is a typical domestic house cat, tabby, and the timid one is a long haired Russian Blue.