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Two single.php files?

I have a custom post type “people”. For each person, I can enter the following custom fields: “address”, “occupation” and “pictures”.

In the single-people.php I display the address and the occupation. In addition, this single template contains a gallery button – when the website user clicks on it I want to takes the user to a separate page where only the pictures of the person he just looked at are displayed.

How do I achieve that? I cannot just create a second single.php file, right?