You should have a Privacy Policy regardless of the type of website you have. Different platforms require you to have a Privacy Policy regardless of if you collect data directly from users (i.e. contact forms) because these platforms may collect some data for you (i.e. analytics):
- WordPress requires you to have a Privacy Policy
- Wix recommends that you have a "clear and comprehensive" Privacy Policy
- Weebly recommends a Privacy Policy
- Squarespace requires website owners to have a Privacy Policy
- And so on for many other platforms
Regardless of whether you use a content management system (CMS) like the platforms above, a Privacy Policy is required by law (CCPA, GDPR, PIPEDA, etc.) and by many third parties (Google Analytics, payment providers, etc.).