Preheat your oven to 400°F and line a large rimmed baking sheet with parchment paper.
Peel and cube the kabocha squash into 1-inch pieces, and slice the chicken breast into bite-sized strips.
In a large bowl, toss the squash and chicken with the extra virgin olive oil, sea salt, black pepper, and garlic powder until evenly coated.
Spread the chicken and squash in a single layer on the prepared baking sheet and roast for 20 to 25 minutes, or until the chicken is cooked through and the squash is fork-tender.
While the tray roasts, combine the ginger kombucha and maple syrup in a small saucepan over medium-high heat.
Simmer the kombucha mixture for about 5 to 7 minutes, stirring occasionally, until it reduces by half and reaches a syrupy consistency.
Place the baby kale in a serving bowl and drizzle with apple cider vinegar, tossing gently to slightly soften the leaves.
Once roasted, remove the tray from the oven and immediately drizzle the warm kombucha glaze over the chicken and squash.
Serve the glazed chicken and squash over the bed of kale and enjoy immediately.