It should be possible. You can use wget to crawl your Wordpress site and save it all to html files, which you can then copy/ftp to your static site. I've done this with Drupal. Drupal 6 was at EOL and not getting security fixes. The site was fairly large and had been built over a period of years, but was no longer being updated. We wanted to keep it online, but did not want to take on a project to migrate it to the next major release of Drupal and then get on that update treadmill.

I forget the exact set of wget options but you can find blog posts about how to do this.