Preheat your oven to 400°F and line a large baking sheet with parchment paper.
Peel the sweet potato and cut it into uniform 1/2-inch cubes.
Toss the sweet potato cubes on the baking sheet with the olive oil, half of the sea salt, and half of the black pepper.
Roast for 20 to 25 minutes, tossing halfway through, until the edges are golden brown and caramelized.
While the potatoes roast, combine the tomato paste, apple cider vinegar, maple syrup, smoked paprika, garlic powder, onion powder, and the remaining salt and pepper in a small saucepan over medium-low heat.
Whisk the sauce until smooth and slightly bubbling, then reduce heat to low.
Drain the canned chicken thoroughly and use a fork to flake the meat into the saucepan.
Stir the chicken into the barbecue sauce until evenly coated and heated through, then serve immediately alongside the roasted sweet potatoes.