No, the physics are still valid in the event horizon. It's just the singularity at the exact centre of the black hole that is problematic.
Interestingly, if we ignore only the point at centre, it can be shown that an object that falls in a black hole, goes right through it and is ejected at the other side. All in finite proper time. This situation is non-physical because it takes an infinite amount of time for the photon to reach the event horizon. Even if we could reverse the photon inside the black hole, it would still take an infinite amount of time to crawl back out. So even in theory, black holes are still inescapable.