This is easiest to do in the first Hunter battle, where you are only fighting one of the robots. This trophy sounds a bit misleading – it means you cannot fire web shots at the Hunter to slow it down, not that you can’t web swing around the city.
To dodge the Hunter’s attacks, web rush side to side to avoid the blue energy balls that it fires, and press repeatedly to get out of the way of its energy dome, which damages you all the time you are inside.
Chase the Hunter, and press when prompted to kick it into the ground. Repeat this four times, and complete the quick-time event (press quickly) to smash the Hunter. Do this without web shooting the Hunter and this will unlock.
If you do not unlock this trophy in your standard playthrough, you can replay the level from the whiteboard in your apartment.