Try this to get the count of posts:
<?php
$connected = new WP_Query( array(
'connected_type' => 'posts_to_pages',
'connected_items' => get_queried_object(),
'nopaging' => true,
) );
echo "<h2>Found: $connected->found_posts</h2>";
?>
You could write a variable like:
$the_count = $connected->found_posts;
Then test with an if
if ( ( $connected->have_posts() ) && ( $the_count > 1 ) ) :