No, Screamin' Jay Hawkins is not a goth artist, because they play Blues/Proto-Shock Rock, 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 Screamin' Jay Hawkins are Bauhaus, Christian Death, and Scary Bitches.