WooCommerce: Change template for single product page

Woo Commerce is off topic as its a plugin and not specifically related to WordPress but what you can do is copy over the single-product.php template to a WooCommerce folder in your child theme. change the file name and modify the file, then use single_template or template_include with the correct conditional tag.

single_template

function get_custom_post_type_template($single_template) {
 global $post;

 if ($post->post_type == 'product') {
      $single_template = dirname( __FILE__ ) . '/single-template.php';
 }
 return $single_template;
}
add_filter( 'single_template', 'get_custom_post_type_template' );

template_include

add_filter( 'template_include', 'portfolio_page_template', 99 );

function portfolio_page_template( $template ) {

    if ( is_page( 'slug' )  ) {
        $new_template = locate_template( array( 'single-template.php' ) );
        if ( '' != $new_template ) {
            return $new_template ;
        }
    }

    return $template;
}