Since the movies are not canon, yes.
@southpaw : Reasoning like that, you can also say that Conan could know who Kid is since his mother studied under Toichi and could tell Conan that he was killed, had a kid who's Shinichi's age, and that Kaito Kid disappeared when he died.
What I mean is that I don't think we can assume characters (in this case Kid) know Conan's identity by saying that they just have to do some research in the backround, search for Kudo Shinchi's facebook profile etc...In the canon, when someone has suspicions or knows about Conan being Shinichi, it it always showed explicitely to the reader/viewer.