Certainly coffee houses do have historic basis in our own reality but the highly commercialized omnipresent franchises with extensive supply chains like IRL Starbucks would definitely be a bit more anachronistic, especially in an adveture friendly world where monsters and bandits are waiting outside the walls of the city waiting to ambush cargo shipments.

Something like that probably wouldn't have been even remotely possible until the age of Mercantilism well after the medieval period gave way to the Renaissance and eventually the age of exploration.