You might be able to. A $5 droplet on DO, configured correctly, should be able to handle a Hacker Newsering. =) The cache plugins for WP are really good these days.
DigitalOcean, it's not shared hosting and therefore harder to configure, that being said it's definitely worth it. I've found that even on a low-end VPS you can juice it for more than you could with a high-end shared hosting account.