Facebook privacy question?

[KitCat. =^..^=]

No. Only your friend will be able to see your profile if it is set on private. If your friend's friend looks on your friend's profile and clicks on your name to see your profile, they will not be able to see your profile, only information about you (your name, picture, network, your friends, etc.). If you want to be completely safe, you can set your profile so that nobody can search your name on facebook. This way one of your friend's friend can not click on your name from your friend's profile and your picture will show up as a question mark to them.
You just have to mess around with the security features to make your profile private.
Hope this helps you. Good luck!