No, Strawberry Switchblade is not a goth band, because they play New Wave/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 Strawberry Switchblade are Cocteau Twins and Switchblade Symphony.