Preheat the oven to 400℉ (200°C). Prepare a baking sheet with parchment paper sprayed with cooking spray for easy clean up. Cut the top end off the bulb of garlic.
Add the butternut squash, garlic (cloves facing up), 1 tablespoon olive oil, 1 tablespoon fresh thyme, ¼ teaspoon kosher salt, ¼ teaspoon black pepper. Toss everything to combine, making sure the garlic is coated in olive oil. Roast for 20-25 minutes until the squash is fork tender.
Drain and rinse the chickpeas. Once the butternut squash is done roasting, let it cool at least 10 minutes. Add the butternut squash and garlic to a food processor or blender. *To add the garlic cloves, carefully squeeze them out of the skin being careful not to get the skins in the food processor or blender. Add the remaining ingredients except the ice cubes, starting with ½ teaspoon kosher salt.
Blend the mix ~2-3 minutes until smooth, using a spatula to push down the sides as needed. Add 1-2 more ice cubes at the end of blending to give it a more creamy texture. Give it a taste and add more salt, water, or an extra drizzle of olive oil as needed.