Preheat the oven to 400°F (200°C) and line a rimmed baking sheet with parchment paper.
Brush the cut sides of the butternut squash with 1 tablespoon of olive oil and 1 tablespoon of honey, then season with half of the salt and pepper.
Place the squash halves cut-side down on the baking sheet and roast for 40 minutes or until the flesh is fork-tender.
While the squash roasts, heat the remaining 1 tablespoon of olive oil in a large skillet over medium-high heat.
Add the diced chicken to the skillet, season with the remaining salt and pepper, and sauté until the chicken is cooked through (internal temperature 165°F).
Stir the cooked quinoa, chopped kale, and dried cranberries into the skillet and cook for 2-3 minutes until the kale has wilted.
Remove the squash from the oven, flip the halves over, and fill the cavities with the chicken and quinoa mixture.
Drizzle the remaining 1 tablespoon of honey over the filling and return the squash to the oven for an additional 10 minutes.
Remove from the oven and garnish with crumbled feta cheese and a drizzle of balsamic glaze before serving.