Preheat your oven to 400°F and line a large baking sheet with parchment paper.
Cut the chicken breast into uniform bite-sized pieces.
In a small shallow bowl, whisk the egg white until it becomes slightly frothy.
In a second shallow dish, whisk together the almond flour, garlic powder, onion powder, sea salt, and black pepper.
Dip each chicken piece into the egg white, then dredge in the almond flour mixture, pressing gently to ensure an even coating.
Place the breaded nuggets onto one side of the prepared baking sheet.
In a medium bowl, toss the broccoli florets with the olive oil and smoked paprika until well coated, then spread them on the other side of the baking sheet.
Bake for 15 to 18 minutes, flipping the nuggets halfway through, until the chicken is cooked through and the almond crust is toasted and golden.