You can play as one of the four Ghostbusters (Peter Venkman, Ray Stantz, Egon Spengler, or Winston Zeddemore) and you'll be fighting ghosts throughout the city of New York.
However, there are other Ghostbusters games that do have multiplayer options, such as:
* Ghostbusters: The Video Game (2009): This game had a co-op mode for up to four players.
* Ghostbusters (2016): This game has a multiplayer mode that allows up to four players to play together.
While the PS2 Ghostbusters game isn't two-player, it's still a fun and engaging game for single players!