It's possible; I'm half-Mexican, and my husband has blue eyes and dark brown hair. Our son is darker, like me, but our daughter has blonde hair and blue eyes. There are recessive genes from your parents and his that make differences, as well.
There's a really neat little program on the internet that will, after you answer a few questions about your family's eye colors, give you the percentages and likelihood of different eye color combinations for your future children. I used it when pregnant with my last child, just for fun. :)
http://www.thetech.org/genetics/index.php - click on the lower left hand box that says "What Color Eyes Will Your Children Have". Pretty fun!
ETA: Referencing another poster that said in pure Asian cultures it's impossible, that is incorrect. Famous anthropologist Kazurou Hanihara (professor emeritus of Tokyo university) wrote that Japanese have two types of genes. One is Jomon’s (original habitants) other is Yayoi‘s (mass migrant from Korean peninsula or continental Asia, in 5th century B.C.). And these were mixed, but Yayoi’s overwhelmed Jomon’s. Also professor Hanihara wrote that an Ainu people and an Okinawa people might be direct descent of Jomon people. (Reference book: “origin of Japanese(people)”, published by The Asahi Shimbun).
It IS possible for "pure" Japanese to contribute genes for lighter haired and eyed offspring.