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Is it possible to create a custom admin page for users?

I want to greatly restrict the user’s authority in the website. I don’t want to give the user access to the admin console but I do want to allow the user to edit their username, email, and password.

Everything I’ve done so far is custom (lots of wp_query) and so I haven’t used any plugins yet and would like to keep it that way if I can. Therefore, is it possible to create a custom page where the user can edit their username, email, and password?