Preheat oven to 400 degrees. In a small mixing bowl, combine olive oil, coconut aminos, honey, garlic, and salt and pepper to make the sauce. Stir well to combine.
Line a baking sheet with aluminum foil or grease with cooking spray. Place diced sweet potatoes over a third of the pan, drizzling with a 1/4 cup of the prepared sauce. Lightly toss to coat. Place in the oven and cook for 15 minutes.
Remove from oven and add broccoli to another third of the pan. Drizzle with another 1/4 cup of prepared sauce. Lightly toss to coat. Flip sweet potatoes. Place in oven and cook for an additional 10 minutes.
Remove from oven and place shrimp on the remaining third of the sheet pan. Drizzle with the remaining sauce. Lightly toss to coat. Ensure shrimp are in a single layer for even cooking. Flip broccoli and place back in the oven for another 5-7 minutes, or until shrimp have pink/orange tint and are firm to the touch. Remove from oven and serve hot.