In theory, yes. In reality, probably not.
1) Most shared hosting providers that support WordPress can also handle the installation of WordPress Multisite. As long as you can edit the the .htacess file and the wp-config.php file, you can get Multisite working.
2) However, a well-functioning Multisite installation usually requires more active server management, and more custom configuration, than is usually available from a shared hosting provider.
3) Moreover, a successful Multisite installation will likely have dozens, perhaps even hundreds, of websites running at the same — each with their own set of users and administrators.
4) Even when a shared hosting provider advertises “unlimited sites,” the resources you are provided with on a shared hosting account are allocated based on the assumption that you will be running one site. With WordPress Multisite, you are further dividing those resources up, attempting to host many sites on a platform intended for one. This is usually a recipe for disaster.
A better solution for WordPress Multisite is a VPS hosting plan.
