Spread the squash pieces out on a baking sheet. Add the olive oil, white balsamic vinegar, and honey. Season with salt and pepper, then toss to coat the squash thoroughly.
Roast in the oven for 25–30 minutes, or until the squash is tender and well-caramelized. Meanwhile, place the feta, yogurt, tahini, and olive oil in a food processor. Blend until the mixture is smooth, creamy, and uniform.
Spread the whipped feta onto the bottom of a serving platter. Top with the caramelized squash, pine nuts, and pomegranate arils. Finish with a drizzle of olive oil.