Can notion be used as a private website for the public to use?

I plan on creating a website for students to use for their education, I plan on making a website for tracking homework, scores, dates, deadlines, etc. I wanna make it so anyone can use/edit it without using making a notion account, or downloading an app. But also, I want those edits to be seen and edited only by them. Is it possible to have a website be used by the public, but everything in it is private/only they can use/edit?