In a 6-qt. electric pressure cooker, combine the first 7 ingredients. Top with chicken, onion and broccoli. Lock lid; close pressure-release valve. Adjust to pressure-cook on high for 6 minutes. Quick-release pressure. A thermometer inserted in chicken should read at least 165°. Press cancel.
Remove chicken; shred with two forks. Return to pressure cooker; heat through. Top with green onions and sesame seeds to serve. Freeze option: Freeze cooled stew in freezer containers. To use, partially thaw in refrigerator overnight. Heat through in a saucepan, stirring occasionally and adding a little water if necessary.