No no. Ok it goes like this. There is an event where you share Mrs. Maywood with Kyle. As far as my memory recalls, it happens by walking into town with her and finding Kyle there.Oh, are you looking for the time travel event? English isn't my first language so I misunderstand some things.
Now, this share Mrs. Maywood with Kyle event ALSO can happen in the day your dad calls you, you can use your powers to travel in time (as in, game time travel, not CHEAT time travel) to your first day and do things differently. That is, sharing Mrs. Maywood with Kyle in the campus.
My question is how to get the first one I mentioned (event while walking in town) since I've been unable to trigger it at all in my last playthroughs. It is what Perfidy mentioned three post above your post. Just that I cannot find what triggers it and it is kind of driving me crazy. By now, it is more of a matter of pride than anything to get it to happen.