Indeed. There is absolutely nothing, beyond a re-write of canon law, preventing us from flipping upside down the tri-level monarchical structure of current Church governance--([1] the pope has monarchical power over everyone and everything, and he appoint bishops, [2] who have monarchical power over their diocese, and he appoints pastors, [3] who have monarchical power over their parishes. 

The flip would simply involve [1] parishioners governing their parishes via "Parish Council" and electing representatives to [2] a "Diocesan Parliament" which, along with the clergy, elect their bishop, and [3] all bishop in the world electing from among themselves a "World Synod" as a permanent body sitting in Rome, who elect the Bishop of Rome as pope. 

And out of respect for the charism of governance that appears to have been part of episcopal ordination from the beginning, the "World Synod" would have absolute authority over "Diocesan Parliaments," and they in turn over Parish Councils.