Quantum mechanics demonstrates that it is possible but only recently could it be shown to be true in a molecule with 2000 atoms:
But it’s one thing to create an interference pattern with electrons. Doing it with giant molecules is a lot trickier. Bigger molecules have less-easily detected waves, because more massive objects have shorter wavelengths that can lead to barely-perceptible interference patterns. And these 2,000-atom particles have wavelengths smaller than the diameter of a single hydrogen atom, so their interference pattern is much less dramatic.
Rafi Letzter, “Giant Molecules Exist in Two Places at Once in Unprecedented Quantum Experiment” at Scientific American
Paper. (open access)
We’re told, no, it’s not Star Trek because people would be killed going through the interferometer.
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See also: Sean Carroll: Physicists Don’t Even Want To Understand Quantum Mechanics
and
Theoretical Physicist: Recent Claim About Big Quantum Mechanics Find Is “Silly”
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It is a nice job getting paid to conduct these experiments, where the result is full well known and expected before the start. The time would have been better spent trying to crack the Big question – what makes the wavefunction to collapse (assuming it does indeed collapse) and what does it all tell us about the world… Does anything exist at all? Or maybe it is all just math equations and the phenomenon of consciousness… If we were to kill every single life cell on Earth, would the Universe disappear? There is a good chance that it would…
per Zeilinger, Quantum Physics for a general audience,,, “Every object has to be in a definite place is not true anymore.,,,
The thought that a particle can be at two places at the same time is (also) not good language.
The good language it that there are situations where it is completely undefined where the particle is. And it is not just us (we ourselves) that don’t know where the particle is, the particle itself does not know where it is. This “nonexistence” is an objective feature of reality.,,,”