In a mixing bowl, whisk together the hung curd, ginger-garlic paste, red chili powder, turmeric powder, garam masala powder, cumin powder, coriander powder, chaat masala, and salt.
Add the paneer cubes to the marinade and gently toss to coat them well. Let the paneer marinate for at least 30 minutes or up to 4 hours in the refrigerator.
Preheat the grill or oven to 200°C.
Thread the paneer cubes onto skewers and brush them with oil.
Grill or bake the paneer for 8-10 minutes or until lightly browned and slightly charred.
Serve hot with lemon wedges and mint chutney.