The ancient Greeks had symposiums; these were drinking party-networking event hybrids. Male aristocrats gathered at these parties to enjoy themselves and for more serious purposes like discussing philosophy and the meaning of life, etc. These symposiums almost always started off as dinner parties (so symposiums occurred mostly at night) because drinking in moderation was key to the Greeks; they even had a set recommended amount of drinks they could have from the kylix before a night of fun crossed the line and turned into drunken debauchery, which they did not want.
One night the symposium got a little out of hand; a group of drunken aristocrats ran through the city and mutilated a statue of Hermes in the process. In fact, Alcibiades - an Athenian general - was a part of this group. So to answer your question, even before street lighting ancient Greek societies had a prominent nightlife. However their symposiums were almost always confined to houses as opposed to taking place on the street; when the party did end up on the streets, it didn't always end up so well as highlighted above.
Sources:
"The Greeks: History, Culture, and Society" by Ian Morris
"Alcohol: Social Drinking in Cultural Context" by Janet Chrzan
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