I have a feeling she doesn't need to try to fall in love with him.
RIP Janitor of that school. He's definitely gonna be the unsung hero of this story.
So quick disclaimer: Stay away from crazy girls like that IRL. This is a toxic relationship, emotionally manipulative, and overall just not good for anyone.
That said, this is manga-land, so...Go for it MC. Stick your dick in the crazy because she's pretty cute, can't be killed, and is definitely into you. Much like the Onee-san Keeps a Highschool Boy story, the boundaries of healthy are different here.
The smart move is probably trying to start off being her friend though.