Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper for easy cleanup.
In a shallow bowl, whisk together the almond flour, garlic powder, onion powder, smoked paprika, sea salt, and black pepper.
Cut the chicken breast into even 1-inch strips and press each piece firmly into the almond flour mixture until thoroughly coated.
Wash and chop the broccoli into small florets and slice the bell pepper into thin strips, then toss them with olive oil directly on the baking sheet.
Arrange the breaded chicken strips on the other half of the baking sheet, making sure they are in a single layer with space between them.
Bake for 18 to 22 minutes, flipping the chicken halfway through, until the coating is golden and the vegetables are tender.