Season the pork chops with salt and black pepper on both sides. Heat the olive oil in a large Dutch oven over medium-high heat and sear the chops for 3 minutes per side until browned. Remove them to a plate.
Lower the heat to medium and add the diced onion to the same pot. Cook for 4 minutes until softened, then stir in the minced garlic for 1 minute.
Sprinkle in the smoked paprika and dried thyme, stirring for 30 seconds to toast the spices.
Pour in the chicken broth and diced tomatoes, scraping the bottom of the pot to release any browned bits. Add the drained black-eyed peas and bring the mixture to a simmer.
Stir in the chopped collard greens, then return the seared pork chops to the pot, nestling them into the liquid. Cover and simmer gently for 25 minutes until the greens are tender and the chops reach an internal temperature of 145°F.
Taste the broth and adjust salt and black pepper as needed before serving.