As it applies to departure management upgrades, no. Within each elite level its based on fare class and if needed time added to the DM list.
I do wonder if agents can see your EQM information though as on two separate occaisions a GA has asked me to wait in the boarding area for a likely upgrade since I had more EQMs than the other 1Ps on the list. Perhaps they were speculating why I was at the top and can't really see the information. I thought I recall a thread on that subject about a year ago, but I can't seem to locate it. In each case I guess each GA didn't realize it was probably my Y fare in one instance and B fare in the other that had me at the top of the lists.