You mean the torrent file only...correct?
Not sure to whom this question is directed. But if it's directed to my previous post, I move all of the files related to the current torrent to the second computer.
That means moving the torrent file as well as the folder that contains the music tracks, info file and ffp file. I upload via torrent sites like btree, DIME, etc. When I first started doing this, I made the mistake of (for example) noticing a change I wanted to make in the info file once all the files were moved over. After making that small change (and not redoing the torrent file itself), the torrent "broke".
Now, if you are asking if you can seed while having the torrent file on one computer and the folder with the music, info and ffp file on another, I'm guessing that would work because once you upload your torrent file to the site, your next step is to point the torrent to the directory where the music, info and ffp files reside. However, I don't know why you'd want to do that.