No, The Strokes is not a goth band, because they play Alternative Rock, Indie Rock, Post Punk, 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 The Strokes are Fearing, Necropolis of Love, and Zero Le Crêche.