They had no supernatural powers in life, why assign them any in death?
I don't do the assigning. It's also in Revelations I believe; and there's another verse about "God of the living.." But the question is an odd one to look at anyway.
As close as I could come to addressing is I would guess that being with God is quite super-natural.
I'm guessing that's a no on the question of speaking to loved one's passed away. If so, I humbly suggest you try it and see for yourself.
Almost forgot: You also have Jesus talking to the "dead" in the Transfiguration.