I suspect that we all have short term precognition and that this allows us to prepare. This is obviously a very useful survival trait and provided it is possible it would be selected for. Since we are comfortable that such is possible it is plausible that it exists.
Yet most of the time it will be dormant simply because it can be. It is like the sleeping cat. Yet it is also likely hard wired to our automatic response nervous system as well. After all, a suddenly charging Grizzly needs instant and correct response. This can include scaling the closest tree long before the fore brain kicks in to notice.
I also suspect that this can be trained and improved on as we seem to have a range of ability reported.