<?php

use Cake\Filesystem\File;
use Cake\View\View;

/* ... */

// Instanciates a new View class.
$view = new View();

// Pass your data to the View object.
$view->set('foo', $foo);
$view->set('bar', $bar);

// Creates a new file, writes down the rendered view and closes it afterwards.
$file = new File(WWW_ROOT . 'your/path/to/your/file.html', true);
$file->write($view->render(false, 'your_layout'));  # `Templates/Layout/your_layout.ctp`
$file->close();