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No. With large objects it is easy to see that they cannot occupy the same space.

Smaller objects can appear as if they can occupy the same space but, at the molecular level they cannot. For example, you can dissolve sugar in a glass of water and it looks as if they are both occupying the same shape - but they are not.

At the sub-atomic level, the Pauli exclusion principle prevents objects (electrons) occupying the same space.

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