With Development Mode, features that do not require a connection to WordPress.com servers can be activated on a localhost WordPress installation for testing.
You can turn on Development Mode by adding
define( 'JETPACK_DEV_DEBUG', true); to your wp-config.php file.
Development mode automatically gets enabled if you don’t have a period in your site’s hostname, i.e. localhost. If you use a different URL, such as mycooltestsite.local or something, then you will need to define the JETPACK_DEV_DEBUG constant.
You can also enable Jetpack’s development mode through a plugin, thanks to the
add_filter( 'jetpack_development_mode', '__return_true' );