No, not whatsoever. "Camarade" is the French word they both stem from, and the spelling "comradery" is the (North) American variant which some sources describe

No, not whatsoever. "Camarade" is the French word they both stem from, and the spelling "comradery" is the (North) American variant which some sources describe as an error and some not. It's the U.S. vs England spelling thing again, except this time the U.S. spelling doesn't seem to be catching on, for some reason. To get a feel for the whole thing in Ngram I looked at "labor,labour", "color,colour" and "organize,organise" and for each one the U.S. spelling was winning by a little or by loads, but "camaraderie" heavily dominates "comradery" in terms of usage. So, a little bit mysterious, maybe. [Ngram is a great tool].