With effort. Management is with pesticides (pyrethroids, dichlorvos and malathion), and other approaches. These include vacuuming up the insects and heat treating or wrapping mattresses. The carbamate insecticide propoxur is highly toxic to bed bugs, but is not yet approved in the U.S. Because it might be toxic to children. Resistance to other pesticides can occur.
Big problem. Recommend get school involved. Recommend professional exterminator help. Will need to replace mattresses and any stuffed chairs/couches (or professionally treat). Remove kid's clothes from room for thorough fumigation/cleaning. Not sure about carpeting. Probably can be treated.