Yes the barrels can be rotated. I bought a set of Hydra cables from Nick (great cables by the way, have since bought another pair and love them) with RA Neutriks and in the config I bought them they did not fit my deck at all. If you open one up you will see how they are constructed and how the inner barrel that provides the pin alignment can be rotated to I think 6 or 8 different positions relative to the outer shell.
Doing so I guess depends on just how handy you are. I'm not very handy at all myself, lol I tried to do it myself and ended up sending them back to Nick to do it right, lol, but I'm not good with this kind of stuff and don't own a soldering iron. But yes, they can be realigned.
Also you may want to think about exactly how you realign them and how they fit in the deck afterwards. My RAs are currently aligned like this - it was really the only way they had room to fit:
This was all well and good and worked great in my bag... until I set up a M/S rig and got careless with the cables and could not just swap them on the deck. Duh.
After that incident I decided that while I still really prefer RAs on the mic side for setting up LDs in vertical coincident, after looking at my hands I came to the sad conclusion that while I have evolved opposable thumbs, I'm still dumber than a basic mic cable so now I go for straight XLRs at least on the deck side.