Do you mean hosting with something like [your name].wordpress.com ?

You can do quite a bit with the free wordpress.com stuff, but you end up as a subdomain of wordpress.com. I think Wix.com also has this available.

I've done a little bit of Wordpress with a couple domains I have, and use the wordpress that you can load from a web hosting company. You pay for the domain name and the hosting in my case.

Jim