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Sure we do. Partition your neurons into a few billion independent networks, embed them on a spinning globe of mostly molten rock, and put each one in a leaky bag of mostly water.

Wait long enough, and one leaky bag will emit the number "42". If you get the initial conditions just right (and quantum nondeterminism isn't really a thing), then you'll also get a good approximation to the stock market.

So it's somewhat akin to the Library of Babel but instead of the set of all possible books, it's the set of all possible functions :p

Those are equivalent as long as you allow for infinite length books.

No need for infinite-length books to encode all possible functions, as there are notations to express infinity in finite space (e.g. programs, encoding an infinity of behaviour in a finite number of instructions).

The library of babel contain every possible finite description of every possible function.

And knowing which one it is will probably influence which one it should be, in a halting-problem-esque way.