I'm sorry, I completely misread your question. Let me try that again:
You can definitely use tokens to control the job naming pattern, and you can manually edit the name during/after a job has been created, though that could obviously be tedious for a large number of jobs.
If you need to automate this, it may be possible to write a Python script that runs after the jobs have been created. If it could determine which feature a job corresponds to, it could fetch the feature attributes and update the "JOB_NAME" field in the "JTX_JOBS" table appropriately for each job. I don't think this will break anything, but it's definitely a bit of a hack, so it would be good to get some test time on this approach if you go this route.
I hope that helps...
Brian D.