Yes! That sounds awesome. I'm admittedly not canon familiar at all, but Kotone is nothing if not aggressively friendly as long as someone isn't overtly trying to hurt her or her friends, so general grumpiness or emotionlessness isn't a deterrent at all haha. What Are Your Hobbies, Let's Find Some To Do Together and stuff like that.

Listen, as a Persona protag, she knows that sometimes it takes several hangout sessions to build a friendship! She's used to it lol