Certainly possible, but you'd be having a lot of lash/slop on the final RH shaft by doing it that way. It would definitely be considered best practice to drive the intermediate shaft instead, then having two idler arms to either side, but I gather that doesn't fit your desired design.
I'd say build the mock-up and see what you get, but I sure don't see any reason why it would be any undue problem the way you have it drawn.