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Depends on speed, maybe rider weight and their position and road slope?
If I know I'm hitting the anchors hard then I'm moving my bodyweight back. I dunno, I'm having a hard time visualising just jamming on the brakes but I'm pretty sure I'd break traction before I went anywhere near going over the bars.
"Controlled" braking then you'd probably stoppie but that's assuming you were aware of the limits of traction in the first place.
Something is up if you can't lock the wheels up. I'm running slick 28s and if I jab the brakes too hard I'm definitely skidding down the road. Your pads and/or rotors are worn, contaminated or maybe shit.
Could also be that the bleed is shit so the brake levers are at the bars before full force is applied?