Season pork with salt and pepper. Brown in oil over medium-high heat in two batches, about 6 minutes each.
Transfer to a 6-quart slow cooker; add onion, garlic, tomatoes, broth, cumin, paprika, and coriander.
Cover; cook on low for 3 1/2 hours.
Stir in sweet potatoes and chickpeas. Cover; cook 3 1/2 to 4 hours more until pork is tender and potatoes yield to a spoon.
Stir in vinegar; rest uncovered for 10 minutes to let broth settle.
Taste for salt; break apart only the largest pork pieces before serving.