Yes they do. I vacation in Costa Rica a few times a year (my parents have a house there so we stay at the same place) and there was a cat that wandered the area. She was an outdoor cat, but liked easy to obtain people food and/or cat food if people had it.
Every time I would go down there, she would kill birds, usually right near me. I could sit on the patio and I'd hear a scuffle and next thing I know there she is with a bird in her mouth. She'd present it to me by leaving it at my feet for a bit, then she'd pick it up and either play with it for a bit or just start eating it. She'd eat the thing whole: feathers, beak, bones and all. Sometimes this would happen multiple times in a week (and if we weren't around when she did it, she'd leave it out until we saw it, then eat it). I can only imagine how many she'd get when we weren't around.
Every time I would go down there, she would kill birds, usually right near me. I could sit on the patio and I'd hear a scuffle and next thing I know there she is with a bird in her mouth. She'd present it to me by leaving it at my feet for a bit, then she'd pick it up and either play with it for a bit or just start eating it. She'd eat the thing whole: feathers, beak, bones and all. Sometimes this would happen multiple times in a week (and if we weren't around when she did it, she'd leave it out until we saw it, then eat it). I can only imagine how many she'd get when we weren't around.