If you somehow skip the extra turn Chance for Glory gives you or skip that turn's end step, the delayed triggered ability never triggers.
Chance for Glory's first effect affects only creatures you control at the time it resolves. Creatures you begin to control later in the game won't gain indestructible.
Creatures you control gain indestructible indefinitely. If you find a way to not lose the game during your next turn, they'll continue to be indestructible for as long as they remain on the battlefield.
EDH / Commander: Restricted
Pauper: Ej legal
Premodern: Ej legal
93/94: Ej legal