Just Cause 3 - Without Bullets! Trophy : Achievement Guide

Just Cause 3 - ...Without Bullets! Trophy / Achievement Guide - Destroy every Chaos Object in a Military Base without using any weapons, grenades, or planted explosives. [Bronze / 20G]

This only works with Military Bases (not with Military Outposts, Towns or Villages). You can reset all bases after the final story mission.
The Military Base "Vis Electra" in the Baia Province of Insula Fonte is very easy. It's small, has few objects and little defense. Use only tethers and melee attacks to destroy all Chaos Objects. Attach tethers to the ground and then to the object to tear it down. Chaos Objects are the ones displayed in the bar on the left side (you don't need to destroy small explosive barrels, only the stuff that is required to conquer the base).

If you have already conquered it, either start a new game and go there right away or reset the base after the last story mission. The problem with a lot of the other bases is that your standard grappling hook is not strong enough to tear down certain structures. If you try it in a base with such structures you must attach explosive barrels or flying helicopters to blow them up.