Infinite, sure. But the universe doesn’t have infinite. There are SO many english words that just putting them together randomly it’s still effectively impossible to generate a work of Shakespear.

And even with as much tech as we can imagine, the universe is finite to our reach and especially to our time. The odds of randomly generating Shakespear is so low even using a processor the size of the sun, the heat death of the universe might happen first. It’s theoretically possible, but so is a planet that spontaneously generates made of nothing but cheddar cheese.