From the viewpoint of the one falling in, you just fall in and cross the horizon without noticing.
Does make you wonder if time dilation gets so extreme, could another black hole wonder by, offset the gravity of the black hole, and let you escape. Even if it takes a billion years.
This could even be the most likley scenario, since ultra massive black holes eats vast amounts of smaller over the course of billion years.
It's far from obvious that just because the event horizons (which is just a mathematical concept and a 3D area of space) should control the trajectory of the singularity.
With two identical blackholes, with a event horizon of radius R, why should a singularity 2R away be unable to escape?
I don't know what would happen if two event horizons overlapped briefly, as two black holes passed by each other at significant speeds. That's definitely above my paygrade :P
The trick is can a blackhole approach quickly enough to catch you as you keep dropping as you past horizon. Normally I'd say no, but the time dilation significantly complicates things.