Soak or boil the rice noodles according to package directions, then drain them well.
Heat the vegetable oil in a large skillet over medium-high heat and cook the chicken for 6 to 8 minutes, until browned and 165°F inside.
Add the broccoli with 2 tablespoons water, cover and steam for 3 minutes until bright green.
Whisk the peanut butter, soy sauce, vinegar, honey, sesame oil and hot water until smooth.
Add the noodles and sauce to the skillet and toss for 2 minutes until every component is hot and coated.