Unfortunately, no :( One of the limitations is that if you host with them for free, they won't let you post javascript code (including the Rafflecopter widget code). Here's a page from WordPress.com that describes the reasons behind this.
Here's an article that might do a better job explaining the differences between WordPress.com hosting, and the pros and cons of hosting with them vs self-hosting your site:
http://en.support.wordpress.com/com-vs-org/
If you might be interested in hosting your own blog, check out HostGator.com and DreamHost.com for hosting services. You can get plans for as cheap as $4.99/mo and have great support.
In addition, if you'd like to send entrants to a landing page on our site that's hosted by us b/c you host with Wordpress, you can direct your entrants to the URL found on the right side of your installation page.
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