Yes, it is possible to hide your profile or the profile of someone who's information you are managing on this Site.
Hiding a profile will only hide the profile from search results or from the list of suggested friends presented to other users.
People that you have sent a friend request to, or have connected with you, will still be able to see your profile page.
To hide your profile from search results, go to the Privacy Settings page and select the 'Hide this profile' option. Remember to save your update.
When you are adding a new user to manage on this site, you can also choose to hide the profile when the account is created.
To control what people see on your Profile Page, you can change your Privacy Settings.
Learn more about managing what people see on your profile page and other areas of the Site.