I think that can’t be answered categorically like that. Some species can survive being completely frozen, like the wood frog, others can’t. Interestingly, there are also some mammals that can survive extreme cold, the arctic ground squirrel can survive a core temperature of below 0°C
I guess it’s as doctors say: “You aren’t dead until you’re warm and dead”
Fun fact, cryonics came to prominence because it just works on small animals like mice. There was literally guys “killing” and reviving mice in the 50’s.
It’s entirely likely that the only barrier in humans is that we’re too big to quickly cool with any known technology.