Normally, no, they can't. This is because the allele for blueeyes is recessive, whereas the allele for brown eyes is dominant.Since both parents have blue eyes they are both homozygousrecessive ie. carrying only blue eye alleles. Since both parentsonly carry the blue eye allele they can only pass blue eye alleleon to their children.BUT, there is a fractionally small possibility that aspontaneous mutation could occur in the eye colour gene in one oftheir gametes that would change an allele for blue eyes into anallele for brown eyes. If this gamete then takes part infertilization then the resultant child will have brown eyes becausethey are now heterozygous (one blue eye allele, one brown eyeallele) with the brown eye allele being dominant.ALSO, it could happen if one of your prospective parents is achimera - a person who has effectively two genotypes because theircells originate from two different zygotes. If one of yourprospective grandparents had brown eyes and gave a brown eye alleleto one of this chimera's genotypes (the one responsible for forminggametes) while the other genotype of this chimera (the oneresponsible for forming eyes) had only blue eyed alleles, this blueeyed person could form gametes with brown eye alleles and hencehave a brown eyed baby. Human chimeras are extremely rare, but anexample would be Lydia Fairchild.Isn't genetics wonderful?