No, these are different things.
The "Hawking radiation" is a mechanism, by which a black hole would not be completely black. Hawking proposed that two particles created outside the black hole with opposite velocities (to conserve momentum), one of these particles could escape the black hole if it's velocity was high enough (the other one would be captured). The energy for creating the two particles would be from the black hole itself.
He calculated that the probability of this happening is inverse to the mass of the black hole (don't ask me how), thus leading to a high probability for smaller black holes, in which case tiny (planck-sized) black holes would quickly evaporate. This was the argument put forward to defend the LHC when the black hole argument came up.
What the parent suggested was "foreign" mass (not created by the black hole) falling into the black hole never reaches the black hole. This is what an outside observer would see, because information takes ever more time to reach as you approach the event horizon. This is standard textbook physics.