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 = '<input type="hidden" name="' . $name . '" value="' . $next_week . '" />';
return $html;
}