In a large mixing bowl, combine the pork mince, garlic, ginger, lime zest, lime juice, soy sauce, fish sauce, chilli flakes, sesame oil, and breadcrumbs. Mix until well combined. Roll the mixture into small meatballs, about 1 tablespoon in size.
Heat a non-stick frying pan over medium heat and lightly oil the surface. Cook the meatballs in batches, turning occasionally until browned on all sides and cooked through, about 8-10 minutes. Remove from the pan and set aside.
In the same pan, heat the vegetable oil over medium heat. Add the garlic, ginger, and Thai green curry paste, cooking for 1-2 minutes until fragrant.
Pour in the coconut milk, stirring well to combine with the curry paste. Bring to a simmer. Add the sliced carrot and green beans, and cook for 5-7 minutes until the vegetables are tender.
Stir in the soy sauce, fish sauce, and lime juice. Taste and adjust the seasoning if needed. Return the meatballs to the pan and let them simmer in the sauce for 3-5 minutes to absorb the flavours.
Serve the green curry meatballs over rice, with extra lime wedges on the side for squeezing.