Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Chop the broccoli into bite-sized florets and slice the red bell pepper into thin strips.
In a shallow bowl, combine the almond flour, garlic powder, onion powder, smoked paprika, half of the sea salt, and half of the black pepper.
Brush the chicken breast with half of the olive oil, then press it into the almond flour mixture until thoroughly coated on all sides.
Place the coated chicken on one side of the prepared baking sheet.
Toss the broccoli and bell peppers with the remaining olive oil, sea salt, and black pepper on the other side of the sheet.
Bake for 20 to 25 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are tender and slightly charred.