Hi,
Not if your manager is responsible for launching this fighter. However, it's not unusual that I actually fire a global event to the owner for another fsm to catch it, so my manager can be made of several fsms, and they communicate via global events still.
In all cases, If you know the target game object, send an event to it specifically, it's always better then firing to everyone and having to filter events then on each implementation.
bye,
Jean