<?php

function custom_next_prev_post_links( $join, $in_same_term, $excluded_terms, $taxonomy, $post ){
  global $wpdb;
  
  $join .= " INNER JOIN $wpdb->postmeta AS m ON p.ID = m.post_id AND m.meta_key = 'your_meta_key_name'";
  return $join;
}
add_filter('get_next_post_join', 'custom_next_prev_post_links', 10, 5);
add_filter('get_previous_post_join', 'custom_next_prev_post_links', 10, 5);