Well, that kind of friend and friendship is possible. You can have that in Jesus. He can be your bestfriend. With Him you can be just who you are without shame and pretentions. He will not judge you about your flaws and failures.
He will not look down on you because of your weaknesses. He will not abandon you when He sees the real you. He will not manipulate you nor will He ever use you to benefit Himself selfishly.