This does not sound right. I'm pulling @stageivsurvivor into this discussion as he may have additional knowledge.

Clinical researchers or research coordinators cannot contact you without prior consent. Your local hospitals should not access your medical records and contact information for the purpose of clinical trial recruitment.

Typically clinical trial recruitment happens during a doctor consult. Your doctor may mention a trial for which you are eligible or for more general studies, you may be asked to participate through a questionnaire. This is always done with your consent and only you opt in to be contacted. Other options include clinical trial advertising through posters, ads, and social media posts. In each case, it is the patient who initiates the contact and consents to participation.

I recommend contacting the hospitals in question to report the calls and ensure your name is not on the call list. I'm very surprised that this is happening at more than one hospital.