I will not doubt they can do it in areas where food is scarse, like Etosha. Maybe they also do it over here and I have just not seen it. I have seen a warthog chase a cheetah but that was not because the warthog was hungry!

Have also seen a cheetah chase a jackal. Maybe it was for fun that he chased the jackal or maybe he just did not like jackal. It was funny to see how happy the jackal seemed when the cheetah stopped chasing him.