No, Nina Hagen is not a goth artist, because they play New Wave/Punk Rock, while goth music consists of Gothic Rock and its derived genres, like Deathrock, Darkwave, Ethereal Wave, and Coldwave.

If you want to dive into the goth music scene, some of the bands that might appeal to you if you enjoy Nina Hagen are Siouxsie And The Banshees and Xmal Deutschland.