I think that is no longer the case - since 2008 individuals with a connection to the parish, e.g through baptism, can be married by Banns:
"Where a marriage is to take place in the parish church of the parish where one of the parties resides, the banns must be called in that church and in the parish church of the parish where the other party to the marriage resides. If the marriage is to take place in the church of a parish where neither party resides, but in a church which is the “usual place of worship” of one of the parties (i.e. one of the parties is on the church electoral roll of that church), or in a church with which one of the parties can show a qualifying connection under the Church of England Marriage Measure 2008, banns must be called in that church, as well as in each of the parishes where the parties reside."