Not all cameras. Usually the more expensive/prosumer/pro models will have a "Continuous AF mode" or "Predictive AF mode".
Maybe I'm not using the predictive focusing modes right, but they don't seem to be as effective as the brochure suggests. Maybe it's the nature of the video-AF system employed by prosumer cams, that's why. I still much prefer the trap-focusing technique, where you get a zone in focus, and wait for your subject to move into this zone.
really appreciate it ...