Ilya's still too new to have much aside from the Pokemon that are actually, you know, hers, but if they want to try and search her room anyway, they certainly can. Be warned, however, it is guarded by a fearsome deterrent.

Orpheus, the screaming Duskull!

So if you want them to go poking around a young girl's room and get screamed at by a ghost (and possibly caught red-handed by the same young girl, though that could have some serious complications because Ilya's a lot more than she seems), we can do that.