Um no. In a word: walls. In a few words: no siege engines. In a sentence: Spartacus had no means by which to seize the city, let alone sack it, especially given the huge number of gladiators and veteran legionaries that could be called to arms at a moment's notice (not to mention the actual legions, who slaughtered Spartacus when they returned to Italy IOTL).
lot of Loot, prestige, and a major psychological blow to the Romans
I guess my question here is, what would Spartacus do with the loot (nobody would willingly trade with a rebellious slave)? What would Spartacus gain from any prestige (who is he trying to impress)? And what does he have to gain by winning a psychological (read: Pyrrhic) victory? Especially on the heels of the Social War, the peoples of Italy had just had their patriotism renewed and I doubt they would turn on Rome again after the huge concessions they got.
To be fair, we don't fully understand Spartacus' motives during the revolt, given the numerous conflicting accounts given, but there's no way he was considering the sort of long-term grand strategies that opponents like Hannibal or Philip V were considering in their wars with Rome.