Put the mint, almonds, zest, and a pinch of salt in the bowl of a food processor. Pulse until finely chopped. With the motor running, add the lemon juice and slowly drizzle in the oil until thick and smooth. Add about 2 tablespoons water until a thick but spreadable paste forms; continue adding water until desired consistency. Taste pesto and season with additional salt and pepper, to taste.
Preheat a grill pan over medium-high heat. Generously drizzle the lamb chops with oil and season well with salt and pepper. Grill, turning once, 2 to 3 minutes per side for medium-rare; remove to a serving platter and let rest for 5 minutes before serving.
Serve the grilled chops with mint pesto drizzled over the top.