As someone who has been involved in both Churches, Church-associated social clubs, and no -Church social clubs, yes, it absolutely can; in fact, what you describe is explicitly part of the concept of many non-Church social clubs, some of which evolved from (or in the tradition of) organizations which started as sub-church organizations within churches by which this function was more tightly expressed for members than in the broader church.
But even where it isn't explicitly part of the deal, it's very common to evolve as an implicit part of a social club.
I'm trying to put into words how much I disagree and why, but I'm failing. Others have done a better job than I can.
I can only recommend you read the strong counter opinions to your position.
I wish you well. But I wont participate in these groups.
Essential in the choice to join a church is the desire to seek out a kind of 'marriage', where for better and worse, you promise to look out for others in an extended family and to help them when they need you. That sense of belonging is one of the big things that brings everyone in a church together -- the wish to be part of a community that regularly joins together and where you can share your life with others.
Membership in a social club can't do that.