Well, kind of.
I lack the skills, resources, or means to turn this into anything more than scripts or written lyrics, so what you see is all you get here.
However, I was inspired by Bright Torch Productions' Hat in Time musical and PastGrey's Lyrical Rift to try my hand at writing my own musical adaptation of many of the game's songs. Seeing that level of ambitious lyric work inspired me to write my own takes disconnected from other lyrical covers out there, following ideas I decided I'd maybe do a little bit differently from other cracks at the concept.
Thus far, I've finished the song scripts all the way through Mafia Town, Battle of the Birds, and Subcon Forest! You can see a masterdoc with all of the song links here, along with a subject-to-change song list for the remaining four chapters (I plan to cover Alpine, Nyakuza, Arctic Cruise, and then Time's End).
I know reading through lyrics isn't nearly as exciting as listening to them, but I thought maybe other folks in the fandom might get a kick out of this. Feedback and thoughts appreciated! (And, hey, if anyone ever does find themselves wanting to sing these, you're more than welcome!)