Hi,
sorry I speak only German, English, French and a little bit Spanish....but I guess I understood your question. The answer is "no". The website is created online and all components are stored online. So you can not download or store it on your computer. If you want to use an other domain name, you can set a redirect. To publish the complete webpage on an other hosting service is not possible.
But you could export the complete webpage (see menu at the Magix logo) via code. This code you can paste into the HTML-body of the hosting service of this other domain. Maybe you have to ask for their help, to find out at which part you have to paste it exact. The result will be that it looks like it would be hosted on the other service, but the files are still on the Magix servers.