Not in my view.
A loose arrangement of folks taking care of widows and orphans etc. is not the same thing as a multi-layered edifice.
Organized bureaucracy of more than a layer or 3; more than a few years of age; more breadth of responsibilities; more rigid structure and rules; has been more or less deadly and inherently man/flesh centered, focused every where I've observed it--particularly when more than 1.5 years or so old.
Sure Paul went around anointing, assigning, disciplining etc.
But he did NOT say to the churches to set up a multi-layered bureaucracy. He said--find some wise old humble fellow to sort out your difference.
That's quite a different thing.
He mentions six in various places: Christ, His Apostles, bishops, priests and deacons, and lay people.