Is there any way that I can own a domain name without paying for it ?

[Karen]

Securing a domain name is pretty inexpensive and as someone previously mentioned, some hosting packages wrap up the domain name registration in the initial cost.

If you're not looking to pay for hosting either, then you're going to have to go with something like wordpress.com to get hosting and the domain name, which would then be http://www.yoursitesname.wordpress.com.

If you're trying to create a brand or build a site for your business, you're always better off just coughing up the money for a real domain name and self-hosting. They're not as expensive as you might think.