Yes and if you hire a lawyer and they divulge things you tell them, they can be disbarred for violation of attorney-client privilege. Furthermore, they make a point of advising you not to tell them anything that they might be obliged to use against you, or which might make them unable to further represent you.

But doctors can and do write reports about things people tell them even if there's no evidence of any criminal activity, just because they think it's suspicious. Also doctors will do the exact opposite of lawyers, and ask you questions to entrap you and get you to say things which make you look suspicious.

There really should be a society of ethical doctors.