The most straightforward way to link your landing page to a privacy policy is to design and publish a second landing page that contains your privacy policy copy.  Then, you can just link the first page to the next.

You can also configure your privacy policy to open in a lightbox which will keep your visitors on your landing page, focused on your call to action.  You can have a look at setting this up in our knowledge base article How to add a lightbox style window (for rules, terms & conditions etc.)

For help developing a privacy policy tailored to your company and use case, we recommend iubenda