Here's the thing about this (and several of the other) gametype achievements: they can be earned in the story mode!
There are several Checkpoint battles (most against the "venue employees") in the Empire mode, and these count toward this acheivement. So, even if you can't get online, you can still earn this either while you're playing - or after you've finished - the Empire mode. Pick a difficulty you're comfortable with (good at, that is) and play 10 Checkpoint battles - they're clearly marked in the Empire venues. You could even play the same one 10 times, if you were so inclined. Get to it!