Is it? If we are in a static environment, then it would mean it is possible, and that this intuition is wrong. Since we don't have a way of determining experimentally if is wrong or not, then at least for now it does not even help us quantify the odds. If we're not in a static environment, then maybe, maybe not - we don't know what the subject experience of consciousness is at all.

We so far have no way of splitting perception or conscience down in slices of ever shorter moments to see where it stops being whatever it is and becomes something "inert", but even if we did, we would not know whether that was an inherent limitation of objective reality or of our subjective reality and whether those two are the same or not.