It does depend on logic, context and our current realm of knowledge.
At one point in our understanding of the universe, it was impossible for 2 things to occupy the same space. Then, it was qualified as impossible to occupy the same space/time. Now, it is 'impossible' to occupy the same space/time/dimension. What will the next 'impossibility' be?
I would still submit that anything is possible.
I guess it's a glass half full thing...