Member Rara Avis
Not entirely clear what you mean?
Your use of the word "generate" suggests one of those computer-written verses, composed of various lines from different sources. Ain't never gonna happen, as I don't think computers write very good poetry. Quite the contrary, I think such attempts give new meaning to the "GIGO" adage.
I think it almost equally unlikely we will ever display "lines of poetry" randomly. A computer has no idea which lines are relevant to the theme of the poem and, taken out of context, I suspect they would be unfair to the poet as often as not.
There's a few technical hurdles, and whole passel of logistical ones. But, uh, soon ...