Heat oil in large nonstick skillet over medium-high heat. Add sausage, onion and garlic; cook, breaking up sausage with wooden spoon, until browned, about 10 minutes. Stir in tomatoes, paprika and red pepper flakes; bring to boil, scraping up browned bits from bottom of skillet.
Transfer sausage mixture to a 5- or 6-quart slow cooker. Stir in kale and black-eyed peas. Cover and cook until kale is tender, 3-4 hours on high or 6-8 hours on low.
Stir in shrimp, roasted peppers and oregano. Cover and cook on high until shrimp are just opaque in center, about 30 minutes.