Yes this should be possible. I have the same sort of functionality in a few of my process, though it's the other way round for me, if a note is added by the originator then a reminder goes out to a group. At this point my process is assigned but I don't see any reason that it should matter as you're sending to the originator. I've included a screenshot from one of my processes. As always test anything in a dev enviroment and take a backup before you implement in Live.
Reminder.jpg 18.8 K
Thanks for confirming that. I'll have a go