No - it's clearly a clairvoyant song about Patti LuPone, from her dogged attempts to yell through Evita, all the way to "for me!!!" (i.e. starring in Gypsy).
But, actually, "Tomorrow" really refers to Andrea McArdle. Angel was listening to her on the hi-fi while they were dancing in the backyard, on Avenue A. Or was that Avenue Q? Or Avenue P? (Really, Rosie?)
Actually, of course, the song is really simply a parallel to Schaunard's "dead parrot" story in Act I of "La Bo-heem." :-) (Which might also mean there's a hidden Monty Python connection in there???)