Can matter fall into a black hole?

Yes, matter can fall into a black hole.

Like you said, time passes normally for objects falling into the black hole.

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From the perspective of the infalling matter the event horizon is crossed without incident. From the perspective of an outside observer 'time grids to a halt' as the object approached the event horizon, so the object never "really" seems to fall in (it also gets red shifted to unobservability, I suppose). You are correct that black holes should evaporate due to Hawking Radiation (but over terrifyingly large time scales for stellar mass black holes). I believe that the current majority opinion among physicists is that in this sense the information about the objects pulled in can be recovered, in principle, after the hole evaporates. But that is a very new piece of theory, so, we'll see...

Yes, matter can fall into a black hole. Remember that matter is any object that occupies space, and when a black hole forms, all things in that particular region gets absorbed in (not even light can escape it). The event horizon that you mentioned would look like matter is floating in front of it, because according to Einstein's theory of relativity, the force of gravity coming from the black hole would almost instantly suck in the matter in its region but to an outside observer it would seem like the matter stays in place. I hope that helped.

Really good question. If you didn't know, there is a theory, different that one of Stephen Hawking, who tells that matter freeze somehow at the edge of a black hole until evaporation. Sorry for this very short and superficial explication. Search for recovery of information from a black hole.

complex aspect look over the search engines that will might help

matter is sucked in by the gravity and because a black hole is nothing BUT collapsed matter it is only logical to presume that the matter got there somehow. Black holes don't " evaporate." evaporation means turns to vapor, there is no evidence that black holes do any such thing.

it would not attain the Black hollow from our inertial body, yet in all probability reason the black hollow to free mass in type of capacity on the shape horizon, a wide time later in our view. The results of anti-count number on a black hollow is anticipated contained in the hypothesis of the Hawking radiation, in spite of the undeniable fact that it continues to be untested. customary is in simple terms, that conservation of capacity also applies to Black holes - in simple terms besides as different guidelines of thermodynamics.

From the point of view of an outside observer, yes.

As Einstein would say "It's all relative!"

The object falling in is going to fall in, regardless of who is watching.

Besides who says time stops at the event horizon? To say time stops is to say space ends. Recall that time and space are one and the same thing. Neither has a beginning, nor an end.