I've looked at the site. You can do pretty much anything with WP. WordPress does not come with many flashy things out-of-the-box, and I don't recommend you use third-party plug-ins as they can slow your website down. It's my advice to use scripts found on code canyon and implement them through your scripts of your site. WP is fairly good at doing this. You should not have a problem with WordPress.
I don't know which Theme they used, and I don't know anybody would know this. They might have used their own theme. It appears to be still in development. You can check theme forrest for more themes, and maybe you will find one there that suites you.