wpcf7_add_shortcode('custom_date', 'wpcf7_custom_date_shortcode_handler', true);

function wpcf7_custom_date_shortcode_handler($tag) {
    if (!is_array($tag)) return '';

    $name = $tag['name'];
    if (empty($name)) return '';

    $next_week = date('Y-m-d', time() + (60*60*24*7)); 
    $html = '';
    return $html;
}