Yes, one of the abilities of someone who attains Enlightenment is that they become able to perceive things in the world exactly as they are, and can inform them to people exactly.
> You seem to be equating enlightenment with omniscience. Are you not?
Not exactly, but it's like that. I can say that their vision is greatly widened because they see from a much higher level. There are some things they can see which are very distant, and sometimes they can help people who are also very distant, using their power of consciousness. However, I've heard Tathagata say he doesn't use his mind very much, and that he simply sees everything that is inside an object when it is in front of him.
There are many people who claim the ability to see through walls and tell where other people are (mediums). They do that by letting their consciousness contact and receive information latent inside energy that's in the air. They call that wandering energy by terms like spirits, ghosts, dead souls, etc. However, besides the fact that it can be very unreliable and dangerous to do so, a living Buddha never keeps company with the dead, and only informs people of what he saw with his own eyes.
> Please tell us what questions you are asking as a qualifier on whether or not someone is enlightened.
Answered this in a sibling question, let me know if you're left with any unanswered questions