No. On Xbox One / Series X|S, original Xbox backward compatible titles do not support Xbox Live Party voice chat while playing.
Includes: Halo: CE, Halo 2, Fable, Ninja Gaiden Black, Star Wars: Battlefront II, KOTOR I/II, Jade Empire, Psychonauts, Panzer Dragoon Orta, Crimson Skies, Max Payne 1/2, Doom 3, Half-Life 2, The Warriors, etc.
None support Xbox Party Chat. Use Discord.