The possibility, of course. But look around, there are so many people who claim to have supernatural abilities, yet none of them has ever been able to demonstrate it under controlled conditions like at James Randi's TV show.
So when someone tells about a supernatural event, my default position is that it didn't happen, until there is actual evidence. You might call this close minded but I call it the only sane way to approach things. You can take another stance and just go into the "conspiracy theory" communities and end up believing that the government is out to kill most humans, that the government are shapeshifting reptilians, that the illuminati control the government, that the government is trying to control you with fluoride in your water and toothpaste or with chemtrails or that vaccines cause autism.