Not sure what you are asking exactly. If you just registered it, you can get a refund on it from the registrar. Ik Godaddy's is 45 days. Sometimes I'll register a misspelling by mistake, call up customer support, and have them switch it out with the correct. If your talking about a domain with an existing website, than yes. But that's a whole other process...
If you want to change domain name of website, in that case you can make new domain as your primary domain for your website and park or redirect existing domain on to that.
Hi, Where is your domain register! they create a ticket for you to change a primary domain name. I think there is no chargers for this services.