Hello Mstmary,
Thanks for the question. The answer is yes, but you need to understand that it will depend on the application and vendor that you are using to build the website. In some cases, you may not be able to move the website that you have created with a proprietary application over to our hosting services. We can host websites here as long as you have all the files necessary for the website to operate. If you're interested in the many applications that we have available for building website, check out list of programs available through Softaculous. These programs are free and can be loaded and tested on your InMotion Hosting account at any time.
I hope that helps to answer your question! Please let us know if you require any further assistance!
Arnel C.