I believe so as long as the brown hair/brown eyed man carries the blonde/blue eye genes. both are recessive so they won't show up in the man, but if he has a parent or grandparent w/ blonde hair or...
This is unlikely since brown eyes are a dominant gene and so is brown hair. Blonde hair and blue eyes are a recessive gene. If one of your parents have blue eyes/brown hair, or one of his, then there...