Not at the moment. Livefyre relies on direct communication with your blog for security and performance. As a result, we do not yet support "local development" WordPress blogs with Livefyre integration. However, we do have this on our roadmap and may add support for this in the future.
We’re always happy to help or listen, so if you have any questions or feedback, feel free to e-mail support@livefyre.com or Tweet at us (@livefyre).