Done well, it can, with right angle of aproach and timeing. But it is far easier for the spearman to get it right, and he has the advantage of being able to instantly change his direction.
That isn't the point here. I can out range many cav with LEE stab. I can out range every single cav with greatsword, as I already said.
We're not talking about techniques infantry or horsemen use.
Also, no sane cav would charge any aware polearm user because chances are high that his horse will be stopped in place.
Some of the best cav do it, but not all the time.
Gurnisson, if you say again that I'm talking bullshit and that cav I'm facing are bad, in that case I challenge you to cav vs 2H duel. If you manage to hit me once when going full speed, I'll wrap these words written here and eat them with ketchup.