Structured data for FAQ page?

There is this: https://schema.org/QAPage

and these: https://schema.org/Question + https://schema.org/Answer

Which you can indeed use …

and validate: https://search.google.com/structured-data/testing-tool

To build your own FAQ page.

<div itemscope itemtype="http://schema.org/Question">
  <h1 itemprop="text">What does FAQ stand for?</h1>
  <div itemprop="acceptedAnswer" itemscope itemtype="http://schema.org/Answer">
    <p itemprop="text">
    A: Frequently Asked Questions
    </p>
  </div>
</div>

The vocabulary Schema.org has the types Question and Answer (added in version 1.1 from 2014-04-04).

This is not only for Q&A sites, but also for FAQs, as Question explicitly mentions (bold emphasis mine):

A specific question - e.g. from a user seeking answers online, or collected in a Frequently Asked Questions (FAQ) document.

There is no schema entry for FAQ, you most likely best of adding it as a 'WebPage'. or using the about. It's not required to use rich snippets for all pages. It holds little SEO weight if any. Google will be able to establish it as a FAQ page without any markup of this type.