No, a blown fuse wouldn't directly cause both the fuel tank to open and the trunk to pop open. These are separate systems controlled by different parts of the car's electrical system. While a short circuit *could* theoretically blow a fuse and then indirectly affect other systems in unusual ways, it's highly unlikely to simultaneously trigger both those actions.
The problem is more likely to be a mechanical or electrical fault in the locking mechanisms, the control modules (for the trunk and fuel door releases), or perhaps even a problem with the car's central locking system.
