In Wordpress.com's desire to simplify things for their users, they turn off capabilities. Wordpress (and its plugin world) is a huge target for hackers so Wordpress.com (the company) is making trade offs.
If you want to use Wordpress (the open source software) unrestricted then I recommend a host like Hostgator, which is $6/month and they let you do what you want.
These are the plugins that keep things secure + fast:
https://wordpress.org/plugins/wp-optimize/ for optimizing content (works fine with our plugin!)
https://wordpress.org/plugins/wordfence/ for security
https://wordpress.org/plugins/updraftplus/ is useful for backups.
That being said, you could also host your Hype content on a regular web server for free, like on github pages: Using Github Pages to Host Hype Exports