Heat a small saucepan over medium heat. Add the ginger, honey, aminos, vinegar and fish sauce and whisk to combine. Cook until sauce begins to simmer, 4 to 5 minutes. Transfer sauce to a bowl and return pan to heat (no need to wipe it out).
Add sesame oil and garlic to the hot pan and saute until garlic softens, ~2 minutes. Add red pepper flakes, water and kale. Cover tightly with a lid or foil and allow to simmer until greens are wilted, 4 to 6 minutes. (If using bok choy or broccolini instead of kale, cook until tender, which may take a few minutes more.) Drain liquid. Season with some salt and pepper and squeeze lemon juice over the top.
While greens are cooking, heat a skillet over medium-high heat. Add cooking oil. Add pork chops to the pan and cook on both sides until golden brown and internal temperature is 145F (63C) degrees, 4 to 6 minutes per side (depends on thickness). Transfer pork to a cutting board and let rest for ~5 minutes before slicing.
Serve pork chops with ginger-soy sauce over the top and greens on the side and enjoy!