This might help you.
add_action('wp_footer', 'insert_my_js_to_footer');
function insert_my_js_to_footer(){
?>
<script>
// your script here.
</script>
<?php
};
UPDATE:
And if you want to append the php file itself then you can try this.
add_action('wp_footer', 'insert_php_file_to_footer');
function insert_php_file_to_footer(){
include( 'your-php-file.php' );
};