Of course, it's already been done: https://libraryofbabel.info/

A aardvark awkardly advances

A aardvark awkardly announces

A aardvark awkardly apprehends

...

I've often thought how strikingly easy it seems to be to produce sentences that have probably never been written before.

For example:

I am typing these words on a mobile phone whilst sat on a train to an airport, wearing a green jacket, brown shoes and a maroon hat with a black bag containing gifts for my children. That seems a fairly prosaic sentence at first glance but I doubt has been written before.

If you create a program which provably generates all of the members of a specified set, do you own the copyright to a member of this set regardless of the runtime of your program?

"It was the best of times, it was the blurst of times."

You really got to do it for letters, as you can't know what new words might develop.