Add all dry ingredients to a large bowl and whisk together. Add pork chunks to rub mix and coat well.
Add 2 tbs olive oil to Instant Pot and set to sauté. Once it indicates hot, add the pork, but do not crowd.
Place pork chunks directly into the liquid in the pot, spacing out as best possible. Secure lid and make sure vent is set to sealing. Pressure cook/manual on high pressure for 60 minutes. Then let pressure release naturally for 20 minutes or until pin drops.
Remove pork to a large bowl and shred with 2 forks.
Place meat on a rimmed baking sheet lined with parchment paper and squeeze lime juice over the top of the meat. Sprinkle with salt.