Heat olive oil in a large stockpot or Dutch oven over medium heat. Season the chicken with salt and pepper to taste. Add the chicken pieces to the pot and cook until they are golden brown, about 2–3 minutes.
Add minced garlic, diced bell pepper, and onion to the pot. Cook while stirring occasionally until they soften, about 3–4 minutes.
Stir in red curry paste and freshly grated ginger until fragrant—about one minute.
Pour in the chicken broth and coconut milk while scraping any browned bits from the bottom of the pot. Bring this mixture to a boil before reducing the heat.
Add back the cooked chicken into the broth mixture. Let it simmer while stirring occasionally until slightly reduced, about ten minutes.
Stir in rice noodles along with fish sauce and brown sugar until the noodles are tender—this should take around five minutes.
Remove from heat; stir in sliced green onions, chopped cilantro, basil leaves, and lime juice. Adjust seasoning with additional salt and pepper if needed.
Ladle this comforting soup into bowls and enjoy right away!