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Heat vegetable oil in a Dutch oven or large pot over medium high heat to 350 degrees F.
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Season chicken wings with salt and pepper, to taste.
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Working in batches, add the chicken wings to the Dutch oven, 5 or 6 at a time, and fry until light brown, about 2-3 minutes. Transfer to a paper towel-lined plate.
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Increase oil temperature to 400 degrees F. Add the chicken wings to the Dutch oven again and cook until golden brown and crispy, about 2 minutes on each side. Transfer to a paper towel-lined plate.
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Heat soy sauce and sugar in a small saucepan over medium high heat. Bring to a boil; reduce heat to low and simmer, stirring occasionally, until sauce has thickened, about 2-3 minutes.
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Serve wings immediately, tossed with soy sauce glaze.