No, The Changelings is not a goth band, because they play Neoclassical Darkwave/Dream Pop, while goth music consists of Gothic Rock and its derived genres, like Deathrock, Darkwave, Ethereal Wave, and Coldwave.

However, they do have a significant goth influence and even have some goth songs in their repertoire, like "Deeper Than Light".

If you want to dive into the goth music scene, some of the bands that might appeal to you if you enjoy The Changelings are Dead Can Dance, Hada, and Speaking Silence.