No, that would happen if the clutch cable snapped though. I've had this happen on a Vauxhall Astra and a VW Polo (that was actually a hydraulic pipe failing).

No biggie. Just knock it into neutral, brake to a stop, and figure out what to do after that.

Both times once I got it stopped, determined that nothing really bad was happening, and that it was safe-ish to proceed, I just put it in 1st, started it up, and went up through the gears carefully without using the now no longer disengageable clutch until I got home and could look at it properly.