No, Apoptygma Berzerk is not a goth band, because they play EBM/Synthpop/Futurepop/Industrial, 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 Apoptygma Berzerk are Clan Of Xymox, Diva Destruction, and The Last Dance.