It's certainly possible. However, what are the reasons given that you're not allowed to lease? Could they be legitimate?
Also, I'm not a lawyer and don't have your divorce decree in front of me, but what's the requirement on the timing of the notification to your spouse of your move? If it's prior notice, can you provide notice, say, 12 hours prior to occupancy? Or if it doesn't require prior notice, can you notify your ex immediately upon move-in?
Or have you asked your ex whether he knows what's going on?