Simple answer is unfortunately, no.
However, there are some options for you.
First of all you could try http://www.heroku.com (and consult our guide at http://community.nodebb.org/topic/148/looking-to-run-your-nodebb-on-heroku). Heroku is free for a really basic setup, ie. you probably won't be able to have a big enough community before realizing that you'll need to upgrade on their plans and end up paying real $$. But for development, it would be free and totally worth trying.
If you have a small budget, you could try digital ocean. The basic plan which should be enough to run a pretty small community would run you about $5 a month. Consult http://burnaftercompiling.com/nodebb/setting-up-a-nodebb-forum-for-dummies/ for a really simple installation guide.
Lastly, if you aren't a developer type and would like to just run your NodeBB forum in the cloud, completely hassle free, with a bunch of dedicated dev's on your toes looking after your forum :P... hit http://nodebb.org right away. Send us an email and we'll hook you up with beta access.