Sure you can and many do it. Since it has already been fully cooked you might not want to can the meat plain as over-cooked turkey can be dry and tough. So many boil the leftovers with the carcass to make broth and then can it that way - in the broth. Or you can make turkey soup, another common use for it and can the coup.

NCHFP provides all the needed instructions for canning turkey various ways.

Dave

I asked on the Ball webcast today and they said the same thing - it would be dry. But turkey soup sounds good (if we don't eat it all the weekend after TG!).