Custom Built Members Plugin

I’m hoping someone can help me with this.

I’m working on building a site basically for networking purposes

With this site, I’d like to be able to have people register, and put in their information into the box where you can put info, post a picture etc… and then somewhere on a “Page” within the website list all of the registered users where you can click on their username, and get their “member” page basically.

However, I want that page to be only available to members of the site, because I don’t want outsiders to get the info provided.

Do you think this is doable?
K