If using wooden skewers, soak them in water for at least 20 minutes to prevent burning.
In a small mixing bowl, whisk together the gochujang, tamari, toasted sesame oil, raw honey, minced garlic, and grated fresh ginger until smooth.
Cut the pork shoulder into 1-inch cubes and place them in a bowl, then pour the marinade over the meat and toss to coat thoroughly.
Let the pork marinate for at least 15 minutes at room temperature, or up to 2 hours in the refrigerator for deeper flavor.
Slice the zucchini into half-inch thick rounds.
Thread the marinated pork cubes onto the skewers, alternating with the zucchini rounds.
Season the assembled skewers evenly with sea salt and black pepper.
Preheat a grill or a cast-iron grill pan over medium-high heat and lightly brush with a high-heat oil if needed.
Place the skewers on the hot grill and cook for 4 to 5 minutes per side, rotating until the pork is cooked through and the edges are beautifully charred.