Combine beef, ginger, garlic, onion, paprika, chiles, and salt in a bowl, making sure beef is well coated.
Heat oil in a large saute pan over medium-high heat. Add beef mixture, and cook, stirring frequently, until lightly browned, 2 to 3 minutes.
Stir in kale, cover, and reduce heat to medium-low. Cook, stirring occasionally, until wilted and tender, 5 to 7 minutes. Uncover, and raise heat to medium-high. Add stock, and cook, stirring and scraping bottom of pan, for 1 minute. Season with pepper.