No, Björk is not a goth artist, because they play Art Pop, 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 Björk are Cocteau Twins, Dead Can Dance, and Siouxsie And The Banshees.