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No, this is not what Epics are for. An Epic is a large body of work that can be broken down into smaller parts, not a way to arbitrarily gather together disparate pieces of work because they might be related.
A story cannot be part of two Epics, they're different pieces of work.
You can, of course, link them to show dependencies and other logical relationships, but it's nonsense for a story to be in two Epics.