This isn't quite true, the heads are kept from crashing by air pressure and a crash does irreversible damage. The "clicking" sound is either the heads flicking back and forth as the drive tries to seek, or the central motor trying and failing to start platters spinning which are jammed on the bearing.
What freezing the drive may achieve is either un-sticking it from the bearings (see also the "bang drive on edge" technique), or lowering the thermal noise floor in the electronics enough for marginal components to make it through the boot sequence.
It's not recommended. https://www.gillware.com/blog/data-recovery/hard-drive-freez...