It is definitely possible to escape the safe flight envelope in a a stock F-16 though. The F-22/F-35 are significantly newer.

Even with a new system, stability through transonic while manoeuvring is hard, the aircraft will experience buffet, and the meat bag may have been subject to a number of high G turns. The problem is that recovery may need to happen after already departing controlled flight.

Differences between the modelled aircraft and the actual aircraft, e.g. due to icing, linearization effects on inherently non-linear systems, sensor error, actuator wear, etc, can lead to incorrect predictions, and hence moving to parts of the envelope which are not assured.