Most likely not. 11 speed rear derailleurs have a different pull ratio. Your best bet is to choose a "road" derailleur up to 10 speeds, or a "MTB" derailleur up to 9 speeds.
Also a factor is that if you plan to use 11 speed cassettes, the total width of the sprockets is a bit wider. For "MTB" cassettes the largest sprocket slightly overhangs the hub flange. For "road" cassettes where the largest sprocket is not large enough to do that, more room was made in the freehub for 11-speed cassettes.
Note for friction shifting in 11-speed systems, you don't need a 11-speed rear derailleur. You can use any rear derailleur as the pull ratio just has to cover everything from largest sprocket to smallest sprocket, it doesn't have to be compatible with indexing.
Also a mystery to me is why would anyone who favors bar-end shifters use 11-speed systems. For economy or durability reasons, 8 speed wins, 9 speed comes second, 10 speed comes third and 11-and-anything-more speed loses. Usually the reason for using bar-end shifters is either their lower purchase price (but the gap between bar-end and STI has narrowed due to bar-end becoming more-and-more expensive), or their far better durability.