Yup! I live there, and there are a lot of places to go out especially at night! There are a lot of bars-clubs in the center of the town (for example "Le Rafiot" which is on a kind of barge ; ''La Java" is a bar for students especially, I put you the links in the source). You can find nightclubs too, and some of them are in the suburb of Strasbourg (10-20 minutes to go) : for example "The Mood Club" (also put you the link in the source). Also a good thing to know is that Strasbourg is near Germany where there are cool places to go at night, there are buses doing the road from Strasbourg to Kehl. (K3 is a cool nightclub)
Last thing you should know is that there are a lot of students in Strasbourg, so there are often "student parties", you just need to know when and where !
Hope that was helpful, have fun ! :)