Heat a sauté pan on medium high heat. Add the vegetable oil, ginger, scallions, and garlic. Cook for 30 seconds, but do not brown. Add the bbq sauce, vinegar, and hoisin sauce, whisk until smooth. Add the sliced pork, stir to coat with the sauce and to heat through.
To assemble, lay the cabbage leaves leaves out. Divide the rice and shredded carrots among the leaves. Top with the hot bbq pork mixture and roll up.