On a steppe? I think so, I don't see why not. An animal running at or close to top speed might only speed up its exhaustion - it's much easier to run 1km at a steady pace than to do 10x100m intervals.

Try to play with your dog for an hour at high intensity. If your dog belongs to a large or very large breed it'll get tired much more quickly than you - assuming you're in somewhat good shape.

I'm not advocating in favor of endurance hunting, I'm only stating that we can out-endure some large-ish animals.