Yes, The Shroud is definitely a goth band because most of their albums belong to the Gothic Rock and Ethereal Wave genres, which are among the core subgenres of goth music. Albums like Victimized..., Drowning Dreams, and Long Ago And Far Away are examples of their goth sound.
Some of the other goth artists that are similar to them are La Scaltra, Die Laughing, and Strange Boutique.
The Shroud is located in United States, California, Fresno, active in 1991 — 2001. You can find more information about The Shroud on their GothDB band page.