Heat 1/2 cup olive oil in a large pot or Dutch oven over medium-high heat.
Season the chicken thighs with 1 1/2 teaspoons salt, 1/2 teaspoon black pepper, and 1 teaspoon of the ground cumin; sauté in the hot oil until golden and cooked through, about 8–10 minutes per side depending on thickness. Transfer the chicken to a plate and set aside.
In the same pot, add the chopped onion and chopped red bell pepper; sauté until the onion is translucent, about 5–7 minutes, scraping up browned bits from the bottom of the pot.
Stir in the minced garlic and remaining 1 teaspoon ground cumin and cook for 1–2 minutes until fragrant.
Return the chicken to the pot and add 2 cups chicken broth, 1 (8 oz) can tomato sauce, 1/2 teaspoon Bijol seasoning, 1 bay leaf, and 2 teaspoons oregano; season with additional salt and pepper to taste.
Add 2 cups rice and stir to fully submerge the rice in the liquid. Bring to a boil, then reduce heat to low, cover, and simmer gently for 30–45 minutes, or until the rice is tender and liquid is absorbed.
About 5 minutes before the end of cooking, stir in 1/2 cup frozen green peas and cook until heated through.
Remove the bay leaf, adjust seasoning if needed, serve hot, and garnish with petit pois.