
There is a game like that. It's called Chulip. It was a game about you moving into town and talking to all the townspeople so you can learn their schedules and get to know them better so you can kiss everyone. Yes, that's the goal of the game. It was on PS2 and was surprisingly brought to the US. I have it, but unfortunately, I don't think it's that good.
Before they made Chulip, the team that made that game also did Incredible Crisis on the PSOne. And later on they'd help work on most of the Chibi Robo games.