Yes, No Critics is definitely a goth band because most of their albums belong to the Gothic Rock genre, which is a core subgenre of goth music. Albums like November and Prayers Behind The Door are examples of their goth sound.
No Critics is located in Germany, Hesse, Bad Homburg, active in 1988 — 1993. You can find more information about No Critics on their GothDB band page.
Want to check if another band is goth? Search other bands.