Accepted answer: no
I used to play Battlefield: 1943 on my Xbox 360 a year or two ago back when I still had an Xbox Live Gold subscription. Then one of my friends who also owned the game told me the servers had been shut down a few months after I had last played it, so I never tried to play it again. I was a little annoyed, since it was a really fun (and fairly expensive) downloadable title, but I went on my way and forgot about it.
However, another user and I have just engaged in a discussion in the site chatroom about what to do about games with dark servers on the site, and I got looking for information about Battlefield: 1943 and found no immediate Google results about the servers being shut down. And since my friend has also proven himself to be a very unreliable source as of late, I'm wondering:
Are the Battlefield: 1943 servers down, or are they still running?