Yes. Don't quit your team. With Commissioner powers, in your manager's menu, choose Act As the team you want to manipulate. Then go to that team's menu and select Trade Player(s). Set up the trade that you want and, if it's not to the second team's liking, ram it down their throats by clicking Force Trade. Laugh maniacally when you do this. Then, go back to Act As and resume control of your own team.
EDIT: Oops. A nod of respect to colleague Bluenoser.