You probably don't really understand how websites are hosted, but to answer your question, you won't be able to host BYOND games off shared web hosting services.

To host a BYOND game on a server, you need to be able to install BYOND on it. This is generally done through a shell. Generally, shared web hosts probably will give you a web interface to upload files, but you will have no access to running your own binaries on there, so it will not be possible to install BYOND on those types of services.