No, there aren't.
Calormen, Narnia, Telmarine Narnians, Archenland, the tiny island of Terebinthia, and Harfang are all canonical political entities, the "first rung".
Old Telmar is my imagining the homeland the Telmarines from "Prince Caspian" are said to have emigrated from. The Lone Islands are a Narnian governed province and later dukedom, but the Governors seem to have a lot of independence and at the time of Prince Caspian (which is when the mod is set) are essentially able to ignore Narnia itself as they see fit. The Marauders are the (clearly still existent) servants of the Witch, but in faction form. These form more of a "second rung" of semi-canon factions.
The final factions (Surval, Erina, Munesh, Koraly, and the Dwarfs) are my own invention. The Dwarfs are a faction showing the truculent independence and atheism of those in The Last Battle (Lewis would have hated the poor lil' buggers, I love them to bits). Koraly is another group of Telmarines, who headed south around the coast of an inland sea I invented instead of east into Narnia. Munesh, Erina and Surval are my imaginings of some of the factions mentioned in The Horse and His Boy, which must have existed due to the famous battles the Calormenes keep talking about.