You don't necessarily need a 3rd party plugin to get the benefits of Open Graph, but without writing some code, you're going to be a bit limited.
For example, you could add a few key meta tags to your header.php
:
<meta property="og:title" content="The Rock" />
<meta property="og:type" content="video.movie" />
<meta property="og:url" content="http://www.imdb.com/title/tt0117500/" />
<meta property="og:image" content="http://ia.media-imdb.com/images/rock.jpg" />
The trouble is that they will be static, however. As you jump from page to page (or post to post) on your site, these meta tags won't change. That's where a plugin helps. It dynamically creates those meta tags to ensure they match the content of each Page/Post.
In the end, I think you're going to have to either find one you like, or create your own for optimal results.
For more details on the Open Graph meta tags, visit: http://ogp.me