According to Wikipedia, these Helmeted Guineafowl are "very agile and powerful flyers". I'm afraid I can't vouch for that - I've only ever seen them jump, to be honest. And as mentioned previously, on one or two occasions, I've seen them flap their way into a tree or onto a roof. But fly? Never. I don't believe it for a second.

We used to live near a water reservoir in Durbanville, and I would watch in the mornings as the members of the resident flock of guineafowl flapped up onto the reservoir one by one, lined up along the ledge, and then took it in turns to jump off again. Some of them were more hesitant than others though, and I could imagine their feathery buddies at the bottom egging them on to "just jump already, would you?!" These silly big birds never fail to amuse me.