No and yes.Also is it safe for the kitten to sleep on DD's bed or could it get squashed accidentally?
The latter happened to me when I was 9. Took the kitten into the room, left it on the floor in its little bed.
I woke up the following morning and the kitten was underneath me.
Took me a long while to get over it.
So, for safety, worming and other parasitic reasons, animals do not sleep with my kids.