Possibly a very amateur misunderstanding, but if it were possible for an object to appear out of nowhere and remained and rest, then its position would not have moved at all. Since the equation for calculation of GPE relies on change in position rather than the position itself, if this was zero then surely the gravitational potential energy would be zero, too? However, if it were on Earth and you dropped it, it would fall. Wouldn't that suggest that the object does in fact have GPE? Or perhaps is this just an impossible theoretical situation?

Thanks in advance for any help!