Not necessarily. Friendships and relationships operate on two different principles. Friendships are a like-for-like exchange. Each person wants to participate in an activity, like sports, watching movies, or playing board games, all of which are impossible or at least boring to do alone. But with someone else, they're fun. So each friend extends the benefit of their company to the other person; they're each other's willing participant, so to speak. It's all done on a voluntary, at-will basis, and can be based on any shared interest. Also, each other social status is largely irrelevant; as long as the two people can get along, you got a friendship.
Relationships are a this-for-that exchange. Each party gives what they can in exchange for what they want. For a man, sex by himself is impossible. But with a woman, it's enjoyable. For a woman, a romantic dinner/sunset/carriage ride alone looks bad and is probably not fun. But when a man provides that, she feels special. So, the man provides the romance and collects the sex, and the woman provides the sex and collects the romance. Here, the man's social status is very relevant, because a woman almost always wants a high-status man. The woman's social status is more like in friendships, although being overly emotional can "disqualify" her. (I can only speak for straight relationships; I have no knowledge about gay and lesbian relationships.)