Can I the customer, control the loading or unloading of COM Components?

We do not allow such control in a shared hosting environment. Our support team loads and registers all COM components on behalf of the customer. The requirement you seek is more on the lines of a dedicated server and not shared hosting. Our process is as follows:

You create a folder called "DLLNew" or the days date and FTP the DLL's in the directory.

Send en email to support@webecs.com stating the location of the DLL's and any other instructions.

We receive and process it. 

There is a $2 registration fee for each COM/DLL registered.