No.
With the sole exception of elected Sheriffs police are hired by The State, they represent The State, and they serve the interests of The State. When The State ceases to serve the public and seeks mastery over the public, police become enemies of the public.
Yeah ok. Vermont is a small state; surely, there are many more populated counties in the USA than the entire state of Vermont. But in general, counties are, legally speaking, creatures of the states. State law, typically set forth in a state constitution, can change, abolish, create, etc. counties, and county sheriffs to boot.