Private and public members

Good day

I am new to WordPress and Im looking to make a membership website, but I would like to give the members the option of either being a public member so all members can view their profile or private where only the staff will be able to view their profiles.

This site will be for people who needs assistance with problems where the public users are also able to assist each other but those who does not want others to know about their situation the staff and only the staff will be able to assist them.

Is there anything like this available in a plugin?