By it's very definition, the bigger and hotter an object gets, the less improbable its position. Once you get past quantum particles into atoms, the probabilities of them seemingly "appearing from nowhere" becomes absolutely miniscule.

Atoms were fused from quantum particles (in turn created from raw energy) in the conditions following the Big Bang; they do not randomly pop into existence.

Energy, sure. Sub-atomic particles, likely. Atoms? You're stretching it A LOT.

Try not to collapse every idea into every other one. Quantum Mechanics is amazing, but most Quantum Physicists spend their lives starting sentences "Nice thought, but it's not quite that simple..."

>At the quantum scale, space is a writhing, frantic,
>ever-changing foam, with particles popping into existence and
>disappearing in the wink of an eye. This is not just a
>theoretical idea—it's confirmed. How can this bizarre idea
>be true?"
>
>http://www.fnal.gov/pub/today/archive/archive_2013/today13-02-01_NutshellReadmore.html
>
>I have heard this mentioned countless times in scientific
>documentaries.
>
>Quantum computing is built on this idea, where an atom can be
>at two places at once and thus produce a more powerful
>computing machine.