If you use/make a custom layout you can. One of the things you can check for is the state of the current page and whether someone is logged in or not. So you could potentially have many different looks for your friends pages, your pages and still different again if someone is viewing those pages but not logged in, etc.
if you can, you probably have to have pretty good css skills, there isn't an easy 'copy and paste code for friends page layout here!' section on the customize page as far as i can tell.
I know back when we used S1 any time you had a custom layout it would have codes like "Current page" "friends page" etc. Now I've never done this before but I THINK that if you did it that way and just used a different code for the friends page section, you would be ok.
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