Multiplayer includes five-versus-five online gameplay in several different modes, but the most involved appears to be the mode called Fleet Battles. Outside of the PSVR system no other specific VR systems were mentioned, nor were alternate control devices such as joysticks and HOTAS (hands-on throttle and sticks) mentioned.
The trailer also states that the entire game - start to finish, and including all multiplayer modes - can be played inside VR. Image: EA Motive/Electronic Arts and Lucasfilm