To marinate the chicken, in a bowl, poke the chicken wings all over with a fork, then mix the wings with the soy sauce, rice wine, white pepper, and grated garlic and let sit for at least 5 minutes.
To coat the wings, add the egg and cornstarch to the marinated wings and mix until evenly coated.
To fry the wings the first time, in a pot over high heat, heat the cooking oil to 325°F (163°C), add the wings one at a time, and fry for about 5 minutes until cooked through and lightly golden, then remove and let rest briefly.
To fry the wings the second time, increase the oil temperature to 350°F (177°C), return the wings to the oil, and fry for another 2 minutes until deeply golden and crispy, then remove and drain well.
To make the honey butter sauce, in a pan over low heat, combine the butter, garlic, soy sauce, honey, and brown sugar and let it melt and simmer gently, then stir in the cornstarch slurry (mix the cornstarch with water first), cook until slightly thickened, turn off the heat, and let sit briefly.
To toss and serve, add the fried wings to the sauce and toss until evenly coated, then serve immediately.