Yes, there is many ways to make your self hosted blog for free it means that you will not need to pay for your domain and file hosting. The best combination to make it possible as my experience in do blogging for three years is using 
co.cc free domain service (an old news i know) for file hosting, you can use 000webhost.com free file hosting service plus cPanel and free ads.
It’s better for you to go to each service provider website for the full information about their service and choose the fit one with your needs.
As my experience using their service, i think that is the best combination if you want to learn blogging and build your own self hosted blog and doing anything with your blog.
There is some challange (i don’t want to call it a problem 
) and that is in the domain name server setting in the co.cc, there is some steps to do it but it’s not really hard to do. Just a few steps and
I will post step by step how to setting name server on co.cc with 000webhost.com as file hosting in the next articles.
Thank you! Happy blogging!
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