You would have to go to Tidal and see what API they offer and if their TOS allow for such usage.
For a list of previous songs played, or the current one, that may allowed by Twitch in an extension but jukebox like functionality would almost certainly be denied if you want to monetize it with bits, and even without monetization it may still be denied unless you limit it to tracks which the streamer has all of the licenses required to publicly broadcast that song, or songs that don’t legally require a license.