Prepare the honey mustard sauce: In a small bowl, whisk together the honey, whole grain mustard, lemon juice, smoked paprika, and a pinch of salt and pepper. Set aside.
Cook the potatoes: In a large skillet, warm 1 tablespoon of oil along with 1 tablespoon of butter over medium heat. Once hot, add the quartered baby potatoes in a single layer. Season with salt and pepper, and cook for 10-15 minutes, stirring occasionally, until the potatoes are golden brown and crispy on the outside and tender inside.
Sear the pork chops: In the same skillet, add the remaining tablespoon of oil and butter. Season the pork chops on both sides with salt, pepper, and a pinch of smoked paprika. Sear the pork chops in the skillet for about 4-5 minutes on each side, or until they are nicely browned and cooked through. Remove the pork chops from the skillet and set aside.
Make the sauce: With the skillet still on medium heat, pour the honey mustard sauce into the pan. Let it simmer for 2-3 minutes, scraping up any browned bits from the pork chops for extra flavor.
Combine and serve: Return the pork chops and potatoes to the skillet, spooning the sauce over them to coat. Allow everything to cook together for an additional 2-3 minutes until heated through and well coated with the sauce.