Hi there,
not easily… WP provides the the_password_form
filter which would allow you to modify the password protect form:
https://developer.wordpress.org/reference/hooks/the_password_form/
You could also create a Block Element to display additional content on the page:
https://docs.generatepress.com/article/block-element-overview/
Whilst your creating the block, check the browser URL to get the ID
of the block element.
The Display Rule Location you would leave empty then we can use a PHP Snippet to display it if the page is password protected:
add_filter( 'generate_element_display', function( $display, $element_id ) {
if ( 100 === $element_id && !empty($post->post_password) ) {
$display = true;
}
return $display;
}, 10, 2 );
The 100
needs to be updated to the ID of the Block Element.