It's do-able, but I'm not aware of an existing plugin which can. The reason is that posts are kept in one table and category details in another.
When you are generating a list of posts and want to say to which categories they belong, that's quick: the routine picks up a category ID from the post entry it is already looking at, the category table is indexed on that ID, so extraction of the name of the category is near instant.
To achieve what you want isn't hard, but the existing routine would need to be rewritten. It would also be a slower process, which - considering it wouldn't produce anything useful most of the time - might not not be such a good thing on a busy site.
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