Load template file without a publication type

Is there any way to load a template file without having a publication? I am loading a data set through an API. Set up my index page but have a brain block with unique template files since these publications are not in the WP registry / database

// template files
events-index.php
events-single.php

Index of events:

 have_posts ()):
while ($ upcoming_events-> have_posts ()): $ upcoming_events-> the_post ();

$ custom_link = sanitize_title (get_the_title ());
$ custom_link = rtrim ($ custom_link, & # 39; / & # 39;);
$ custom_link. = & # 39;? & # 39; . get_the_ID (); ?>

<a href = "">
// This link to a custom template file