It certainly can if you have a toxic situation going on. I know mercury poisoning is related to hairloss, and (oddly) when I began oil pulling I noticed my eyebrows have gotten much thicker on the outside corners. Do you have mercury fillings? Here is a brief blurb on hairloss and mercury poisoning. You can google for the full original article, this is from http://hairloss.about.com/b/a/140086.htm
Mercury Poisoning & Hair Loss
HairBoutique.com's Karen Shelton recently wrote an interesting article on mercury poisoning and hair loss. According to the article, "While some dermatologists that specialize in diagnosing hair loss may be aware of this new cause of sudden follicle shedding, other dermatologists might not be aware of the need to test for mercury poisoning as a potential cause of excessive cuticle loss."
If you're suffering from unexplained hair loss and have received a clean bill of health from your doctor, you may want to examine your fish eating habits. If you eat a lot of tuna, king mackerel, tilefish, swordfish and shark, you may want to have yourself tested for high levels of mercury.