Yes, if the mother cat has fleas and worms, the kittens are certain to have them as well. Do they belong to your friend? How old are the kittens at the moment? A heavy flea infestation in very young kittens can quickly cause anaemia. First of all, mummy cat MUST get some flea and worming treatment ASAP. Make sure your friend gets treatment from the vets NOT the pet store, I recommend Advantage for fleas (though not sure on safety of Advantage with nursing queens!) and Drontal for worms.