When I 1st saw this post I must admit I had a chuckle but have, as of today just bent my knee up & put my foot back in my mouth where it belongs. I'm sure a few others may do the same.
Walker Downriggers actually make a reel called:
Walker W.T.D. Trigger Drag Inverted Levelwind Trolling Reel
These can be seen/found at:
http://www.all-americanoutdoors.com/inc/sdetail/10538
SO, to answer your original question OZBEE, YES YOU CAN