Place the rinsed split peas, ham hock, onion, carrots, celery, garlic, chicken broth, water, smoked paprika, and bay leaf into the slow cooker.
Stir the ingredients gently to distribute the vegetables and spices around the ham hock.
Cover the slow cooker and cook on low for 8 hours or on high for 4 hours, until the split peas are soft and breaking apart.
Remove the ham hock from the pot. Shred the meat from the bone, discard the skin and bone, and return the meat to the soup.
Stir the soup and season with salt and black pepper to taste.
Ladle the soup into bowls and top each serving with chopped fresh parsley.