Not quite. A fixed observer far away from a black hole sees that objects falling into the black hole become more and more faint, and move towards horizon ever so slower. In a classical situation with a good enough detector you can see the images of ALL the objects that fell into the black hole.
But this is merely an optical illusion. Objects that fall into the black hole emit only a fixed amount of energy before they hit the event horizon (and then the singularity). It just takes infinitely long time for that energy to escape.
And in general, there's no way for the observer to tell if the falling ship is falling towards the black hole or merely accelerating under its own power.
So as you fall down the black hole, the objects in front of you will start getting less red-shifted and brighter as you begin matching velocities with them.
But nothing special (for you) happens at the event horizon.
The images of objects that fell before you, will just continue to become brighter and brighter. In fact you'd even be able to communicate with somebody who just fell in in front of you.
But you don't have a lot of time before the singularity. So you won't catch up with _everything_ that fell before you, and the amount of energy that you absorb from their fading echoes will not be infinite. It won't even be that large.
What will get you, is the fact that this finite amount of energy will get concentrated into an infinitely thin and infinitely bright band at the singularity.