YES! X100!Kittens can die because of flea bite anemia, and it's fine to bathe them, fast, in a flea shampoo, dry with a hair dryer, and comb them out with a flea comb. I've done ten day old kittens that way. Speed is the thing, warm water, and fast drying. The fleas must be killed, so then combing them out is necessary, because all the fleas won't be dead.
Also have seen puppies and kittens as young as ten days of age dying of hookworm infections, especially before good monthly heartworm meds for dogs. Those babies got treated for hookworms too.
Mary
I've bathed young kittens, too - and in this heat, they should be fine, as long as they are quickly and thoroughly dried.