No, Brain Eaters is not a goth band, because they play Horror/Hardcore 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 Brain Eaters are 45 Grave, Cataphiles, and Come To Ruin.