This achievement is mislabeled...
It appears that the original achievement was called "Pork Pacifist" & required you to finish the game without killing any Razorbacks... When it was ported over the text changed, but the conditions did NOT change.
Youll probably need to delete your save & start new because of the way this game saves its data. (like several other achievements for this game)
I played on the lowest difficulty. I DID craft AND use the stick spear & spectral spear (the spectral spear was required to cleanse a crystal). I also crafted & used the hammer, shovel, & axe. I DID kill the golden Razorback because it was required for a tower.
I did NOT kill or attack any Razorbacks, Razorbubs, or the Spectral Razorback.
Its that simple, just finish the game without attacking or killing these 3 creatures.
There is however another possibility... Glitching... You can just sail to the exit from the start of the chapter & wall jump up the wall to exit. After watching the Any% speedrun for this (which uses a wall jump glitch with an increased framerate) I was able to pull it off on console, but it will require above average mashing skills, specific angles, & a bit of luck.
Method 1 - Wall Jump
Method 2 - Zip