As far as I'm aware, a competitive PVP mode is somewhere on the the dev's list, so be on the lookout! As for local specifically, I find that unlikely just due to how most phones work. Phone screens are usually too small for two people to use, and I'm not sure, but I don't think all currently compatible phones can support 4 fingers at once. I'd also be confused as to what the second player would be playing with; would they keep your collection? Get a duplicate to play against you with? Local doesn't seem very feasible for this game, but online is a lot more possible and/or likely!