Not very likely, actually. As someone who has spent 20+ years of his life working in hospitals, that would almost certainly be grounds for instant dismissal for any employee that breathed a word about that or any other matter great or small. Hospitals are constantly asked for information by lawyers, press, inquisitive and estranged family members, and the merely curious. Any information, accurate or inaccurate can be embarassing at best and lead to a multi-million dollar lawsuit at worst. Hospital employees are told to only give out information over the phone to people that truly have a need to know, i.e. doctors, designated family members etc. and to ensure that who they are talking to on the phone are really who they say they are.
If you want, I'm sure you could try the experiment and see ... I think you would be met with a stone wall, if my experience is any guide.
Not that that disproves anything, BTW.