Do people of the same height walk at the same speed?
People of the same height can easily have different leg lengths. Think western women models - currently they are typically women with relatively long legs while ordinary people can easily have shorter legs for the same total height. There's even leg-to-body ration section in Body proportions Wikipedia article.

This is why pedometers always require calibration - the procedure in which you have to walk a known distance and count steps and then know how much steps you need per mile. There're no tables that would assist by assuming certain steps-per-mile ration for known height.