Yes, I think that this is entirely possible and may be preferable to some. The physical contact allowed by dating is not good in many instances because it produces sexual heat that many people cannot or don't try hard enough to control. After sex enters the picture, it clouds their judgment and the couple usually can't focus on getting to know each others' minds and hearts.
As long as there are opportunities, as there are, in other cultures for each party to know the background, values, personality/disposition etc. of a potential mate, it is possible to have a successful future relationship.
Since some of us want to know more about our African roots, let me say that some of the Nigerian couples I have met initially married without the dating we do in this country and they've been successfully married for many years. Their family members did most of the legwork. The man and woman did spend time to get to know each other before marriage, but they were usually in a group of people, very rarely alone.
As a matter of fact, it is still discouraged in parts of Nigeria for any young woman to date multiple men because she will get the reputation of being "used goods" or not a virgin and at that point, no man will marry her.
I've read that most cultures were like this hundreds of years ago. IMO, it would actually be a good thing to practice in the AA community.