Since when are we talking about neutral atoms all of a sudden
in order for an atom to be naturally occuring, it is completely neutral.
and silv is right, a hydrogen atom cannot contain 0 electrons and be neutral, it must have at least 1 to be neutral or 2 to be covalently bonded to another element.
and yes, you can remove all electrons from any given atom, working through quantum physics and a few other theories, you start with the highest energy shell and work your way in, the farther in you go, the more and more energy it takes to remove the electrons from the atom. once you get to a certain point, the human race's own energy supplies cannot even take some electrons away, which is why the higher the atomic number, the harder to strip of all electrons.