At this point, reaching endgame takes a bit. On a second playthrough, when you understand the systems and what to prioritize in the early game, it's much faster, but for example when I was figuring things out at my pace it took me around 58 in-game nights to have finished the quest and maxed the relationship. On my second playthrough, it took me around 35. If you spend the early game grinding up your stamina and doing what events upgrade your stats while avoiding interacting with those which won't and buy the apt pupil upgrade ASAP relationship xp be damned for the first loop, it won't take that long. Also, solid hint; until your stats are higher, run from fights. Getting your stamina up is paramount, so fighting just wastes stamina at the beginning. The hobo is your bane as you functionally can't run from him, in which case turtle up and defend every turn until he runs away himself. Money isn't super important at the beginning, so having a bit stolen is worth the stamina gains of not wasting stamina on taking damage in fights.
I'd assume Kan can start appearing in night sequences from early on, but I have never encountered him before the first party and usually not before right before the end of the first loop.