Pat beef pieces with paper towel to remove excess moisture. In a small bowl, combine tapioca starch and pepper. Add beef pieces and toss to coat. Transfer beef to bowl of slow cooker.
In a small bowl, combine ginger, coconut aminos, fish sauce, water, honey and beef broth. Whisk to combine. Pour over beef.
Cook on low for 4-5 hours. Add broccoli and carrots and cook for an additional 30 minutes.