Soak wooden skewers in water for 20 minutes to prevent burning during the cooking process.
Cut the pork shoulder into uniform 1-inch cubes and place them in a medium-sized mixing bowl.
In a small jar, whisk together the gochujang, coconut aminos, sesame oil, honey, minced garlic, and grated ginger until smooth.
Pour the marinade over the pork cubes, tossing well to ensure every piece is coated, and let it marinate for at least 15 minutes.
Chop the red bell pepper and zucchini into 1-inch chunks suitable for threading onto the skewers.
Thread the marinated pork and vegetable chunks onto the skewers, alternating between the meat and produce for even cooking.
Lightly sprinkle the assembled skewers with the sea salt and black pepper.
Preheat a grill pan or outdoor grill to medium-high heat and lightly grease with a high-smoke point oil.
Cook the skewers for 3 to 4 minutes per side, rotating frequently until the pork is cooked through and the edges are beautifully charred.