Not all cats can even hunt. They all like to think the could, yelling at birds, but its an actual skill. Of all 10 cats I had over my life only 1 could actually hunt at all. Even that cat’s own brother could not hunt at all.
We're pretty sure her indoor sister could hunt but she couldn't. She never brought us a dead bird or mouse, and we watched her jump at and fail to catch birds frequently. Her sister would deliver us a mouse once a year or so.