I think you’re confusing wordpress.org vs wordpress.com. If wordpress.com is what you’re looking for, this isn’t the place. Per the About page of WPSE,
Don’t ask about… WordPress.com support issues
Now, if you’re referring to using self hosted WordPress (wordpress.org) with a .edu domain, there are no limitation on domain extensions (afaik) and you should be able to set it up no problem as long as you have:
- Somewhere to host it
- The ability to point your domain to that hosting
For info on setting up self hosted WordPress, read more about Installing WordPress. The items under Learn How to use WordPress may be helpful for you as well.