Slice the chicken breast into thin strips. Pat dry to ensure even cooking.
Prepare the vegetables by slicing the red bell pepper into strips, chopping the broccoli into small florets, slicing the carrot into thin matchsticks, and trimming the ends of the snow peas.
Mince the garlic and grate the fresh ginger.
Heat the olive oil in a large non-stick skillet or wok over medium-high heat.
Add the chicken strips and stir-fry until they begin to brown, about 4-5 minutes. Remove and set aside.
In the same pan, add the garlic and ginger; sauté briefly until fragrant, about 30 seconds.
Add the bell pepper, broccoli, carrot, and snow peas to the pan. Stir-fry for 3-4 minutes until vegetables are crisp-tender.
Return the chicken to the pan and drizzle with low-sodium soy sauce. Toss everything together to ensure even coating and heat through, about 2 minutes.
Adjust seasoning if necessary, and serve warm.