Facebook Pages – Is It Possible to Archive Facebook Pages?

I don't think Facebook provide any such feature except that download a copy of data. But you can hide your page from public by unpublishing it.

Unpublished Pages are only visible to the people who manage the Page.

From the Help Centre:

Unpublishing your Page will hide it from the public, including the people who like your Page.

To unpublish your Page:

1. Click Settings at the top of your Page
2. From General, click Page Visibility
3. Click to check the box next to Unpublish Page
4. Click Save Changes

Your Page won't be visible to the public until you publish it again.

Note: You'll need to be an admin to unpublish your Page.