No, Fur Bible is not a goth band, because they play Psychobilly, while goth music consists of Gothic Rock and its derived genres, like Deathrock, Darkwave, Ethereal Wave, and Coldwave.

However, their music does show some goth influences and could be considered adjacent to the goth scene.

It is important to note that while this band is not goth, its members did make goth music as part of acts like The Sisters of Mercy.

If you want to dive into the goth music scene, some of the bands that might appeal to you if you enjoy Fur Bible are 45 Grave and Bauhaus.