System and Server Requirements
- WordPress Installed
- PHP version 5.2.4 or greater (recommended: PHP 7 or greater)
- MySQL version 5.0 or greater (recommended: MySQL version 5.6 or greater OR MariaDB version 10.0 or greater)
- Apache Module mod_rewrite enabled for “pretty permalinks”
- HTTPS support
Basically the requirements of bbPress are the exact same as WordPress, so if you are running the latest version of WordPress you can run bbPress.
For a list of the WordPress requirements go to WordPress Requirements