Nope. Here's a neat site showing CSA deaths by state. NC and VA are roughly tied, with AL not far behind.
Since VA had a population of 1.2M or so, and NC about 1M, NC lost a slightly higher percentage of its men. But nowhere near double.
http://www.civilwar.org/education/civil-war-casualties.html
It's surprising how unevenly the deaths were distributed.
Virginia has always wanted the top spot in battlefield deaths. In 1866 they were in fourth place. For 140 years they’ve been counting. So we say that NC and Virginia are basically tied in battlefield deaths. I can deal with that.
NC, with fewer men, sent some 132 thousand men to fight for the cause, compared to Virginia’s 120,000. Maybe their still counting these numbers too.