If you wanted to extract a specific text from pi, you'd have to find the location of the text within pi. Expressed as an integer, this location would amount to an encoding of the entire text and would probably be longer than the text itself. You could only find the location by explicitly searching for the exact text. The location address would effectively be a copy of the text.
On the other hand, the "address" of a text within a memorizing large language model would just be the prompt "give me the text of X".
of course you can - pi contains all known combinations of digits.