Prep the ingredients: slice the ginger, lightly crush the garlic, slit the dried chiles, and pick the Thai basil leaves.
Heat the sesame oil in a wok or heavy skillet over medium heat until shimmering, 1–2 minutes.
Add the ginger and fry, stirring, until the edges turn light golden and fragrant, 2–3 minutes.
Add the garlic and dried red chiles and stir-fry until fragrant without browning, 1–2 minutes.
Push the aromatics to the sides. Add the chicken pieces skin-side down in a single layer and sear until lightly browned, 4–5 minutes; flip and sear the second side for 2–3 minutes.
Pour in the soy sauce and rice wine and add the rock sugar. Stir to dissolve the sugar and bring to a lively simmer.
Cover, reduce to medium-low, and cook until the chicken is cooked through and tender (165°F/74°C), 12–15 minutes.
Uncover, increase heat to medium-high, and cook, stirring occasionally, until the sauce reduces to a glossy glaze that clings to the chicken and the pan sounds sizzly with separated oil, 6–10 minutes.
Add the Thai basil and toss until just wilted and intensely aromatic, 30–60 seconds. Serve immediately.