Using a sharp knife, slit across the green chili from the stem down to the tip. Remove the seeds and pith by scraping using a small spoon. Be sure no seeds are left so that it won't become too spicy.
In a cooking pan, heat a tablespoon of oil and saute the garlic and onion until the onions are soft. Add the ground meat and saute until it changes the color. Then add salt and pepper and saute until cooked. Transfer in bowl and set aside to cool.
Stuff each chili pepper with the meat mixture. Then on a clean table or a large plate lay flat a lumpia wrapper and place a stuffed chili pepper. Place a piece of cheese on the stuffed chili pepper on top of the meat mixture.
Wrap the chili pepper with the lumpia wrapper with the stem sticking out on one side of the lumpia. Roll the lumpia tightly and seal the edge with a dab of water or brush with beaten egg. Do the same procedure on the rest of the chilies and wrappers.
Using a wok or a deep frying pan, heat oil just enough to deep fry the lumpia. Fry them in batches until golden brown or crisp, approximately 3 to 5 minutes in medium heat. Serve with sweet chili sauce or catsup mixed with mayonnaise.