Have you read HIPPA at all? HIPPA prevents covered entities from discussing your healthcare information with a third party with certain exemptions. Not that someone cant require a health status for you to participate. You have the opportunity not to divulge that info and move along. Daycares are not a covered entity and are actually are well within their rights to demand vaccine compliance under the public health umbrella.
And I think people confuse "rights" with "things we don't think is fair".
You dont have a right to a particular daycare or doctor because you CHOOSE not participate in a vaccination program as outline by the rules of that facility. When I was younger I could not play soccer unless I provided a birth certificate and documentation that I had a physical and was fit to play. In the UFC players have to submit to testing of blood borne pathogens.
You can remedy your unvaccinated status regardless if it is your original natural state. There is nothing I can do to wipe my DNA of my black skin and African heritage and change the fact I came from a black woman's womb.
HIPAA, (note the correct acronym, ladies), requires patient consent prior to the sharing of personal health information. In most medical clinics, it's just announced that your info will be shared and sign that you received info about HIPAA.
Now consider this. All 50 states have vaccine registries, databases that track the vaccination status of children and adults. In many states, there is no-opt out provision. Where I used to live, you could opt out, but adults were unaware that they were entered in the first place, e.g. for flu shots. Registry information is available not just to providers, but also to daycare provider and public and private school personnel, including teachers and principals. I'm not comfortable with my own and my children's PHI being shared with such a wide array of people.
I argue that consumer health advocates can and should challenge these registries on the grounds they violate HIPAA, specifically the provision requiring patient consent before PHI is shared.