Can you play the campaign?

TEDD2

hindercanrun

No you cannot play the BO2 Campaign on Plutonium T6.

Resxt

Campaign
Plutonium does not and will not provide campaign mode for any game.
Because WAW and BO1's zombie modes are directly tied to the campaign mode (it's the same game/executable) it's still available in Plutonium since it would require more work to remove it.
It's only here because that's how it is by default, it's just a bonus. Any bug/issue in campaign mode will not fixed.

As for BO2 and MW3 providing campaign mode would require some additional work for something that is not the project's goal anyways so it will never happen. Buy the game on Steam or on a key site.
Same for WAW and BO1. If you experience issues/crashes, buy the game and play the campaign on Steam.
Plutonium doesn't support the campaign mode, this is not a place for piracy and campaign is fine as is on Steam. Plutonium is an online/multiplayer client so singleplayer campaign is out of the scope.