I think the title of the question Is it possible to establish a synchronous lunar orbit without using Lagrange points? is absolutely clear; it's an orbit around the Moon that is synchronous to the rotation of the Moon.
We call an Earth orbit synchronous to the rotation of the Earth GEO for *Geosynchronous Earth Orbit.
For an orbit around the Moon, synchronous to the Moon's rotation, using the same logic, would we call it a Lunasychronous Lunar Orbit or LLO?
If so, would there be some redundancy in this?