Was bitten in zfinger by an ill stray kitten. got my tetanos & antibiotics. it died on the 5 &i got rabies vaccine.can i have transmitted to my kid?

Very unlikely: Many things are possible in life, so the answer to, "Can something happen," is YES. The practical question is, "How likely is this," which in this cat-bite scenario is UNLIKELY. That is because people who are bit by a rabid animal are not contagious until it is too late to be saved (at that point, the virus has already made its way up the nervous system and has come back down into the saliva).