The game you're describing sounds like it has elements of visual novels or life simulation games, but it doesn't match an existing title perfectly. However, it shares themes with games like Dream Daddy: A Dad Dating Simulator or series like Persona, which involve social interactions, tutoring, and relationships.
If you're looking for a game with similar story elements, you might want to check out visual novels or dating simulators that explore relationships, character development, and social dynamics within a school setting. Some titles to look into include Doki Doki Literature Club, LongStory, or Arcana: A Mystic Romance, which incorporate aspects of character interactions, tutor-student relationships, and the challenges of growing up.
If the game you're thinking of is indeed a specific title, it may be a lesser-known indie game. You might want to provide more details or check platforms like Steam or itch.io for indie visual novels with similar themes.