In a large skillet over medium heat, heat coconut oil. To the skillet, add the next 5 ingredients (steak through parsnip) and cook for 10 minutes, until steak is to desired level of doneness and vegetables are tender.
In a medium bowl, whisk the remaining 6 ingredients (coconut milk through lime juice) until smooth.
Pour sauce over steak mixture and stir. Cook for 5 minutes, until heated through. Serve warm.