Yes it can be done without War Room. War Room today is really for player performance tracking and AAR. In the future you will be able to view current mission state, player inventory and even edit the mission on the web.

The scenario you describe is exactly how OPCOM works. AI commander will direct forces to capture objectives (it identifies), it will resupply also. You can impact supplies by intercepting RESUPs and/or eliminating OPCOM forces.