Definitely, but I think it is a question of scale.

It's one thing to construct some ad-libs, but to actually create a piece of art (i.e. an entire verse) is a whole different ball game. It would be like if someone took fragments of Picasso paintings, constructed an entirely new painting, and called it a Picasso.

I suppose it's conceivable that someone might try to do it, and it's apparently technically possible, but I think it would be roundly rejected.