In a large skillet, heat the olive oil over medium-high heat. Add the chicken pieces and season with salt, pepper, paprika, cumin, and garlic powder. Cook until the chicken is browned and cooked through, about 5-7 minutes. Remove the chicken from the skillet and set aside.
In the same skillet, add the diced onion and bell pepper. Sauté for about 3-4 minutes until the vegetables are softened. Add the minced garlic and cook for an additional 1 minute until fragrant.
Stir in the rice and cook for 1-2 minutes, allowing it to toast slightly. Then, add the chicken broth and bring to a boil.
Once boiling, reduce the heat to low, cover the skillet, and simmer for about 15 minutes or until the rice is cooked and has absorbed the liquid.
After 15 minutes, stir in the cooked chicken and frozen peas. Cover and cook for an additional 5 minutes until the peas are heated through.
Remove from heat, fluff the rice with a fork, and stir in the chopped cilantro and lime juice. Serve warm.