I have double genes for it, so I guess I have it, but I'm asymptomatic (I'm a 23 year old female so that would be rare anyway). I found out a year before I got sick - my iron level was out of range even though I was a young female vegetarian who didn't take iron supplements, then I found out from my dad he'd been diagnosed a while ago and used to do bloodletting but never became symptomatic.
I know hemochromatosis can cause "chronic fatigue", but I don't think a connection with CFS/ME has been found - I've looked into this a fair amount and talked to a few doctors about it. Even if there was a connection, it would have to just a be a predisposing factor - I think something like 1 in 10 people of Anglo/Irish descent carry at least one gene for it.
One interesting thing though - there is a connection between iron and infection (by bacteria and viruses). Oddly since I've been ill my iron levels have dropped to low normal, even though I started eating red meat again. I'm still in an acute viral state and one doctor said the drop in iron was potentially my body's attempt to suppress a virus since viruses need iron to replicate. I don't really know the details of this but if you google it there are a fair number of medical journal articles.