OS/2, and I assume eCS because it is based on OS/2, is not a multi user OS. That being said, it is possible, with a lot of effort, to make it so a number of people can log in to an OS/2 machine and have their own desktop and settings but not all at once.
Here, our servers run OS/2 as webserver and file server and storage with each workstation running OS/2. We do have a few applications that have been produced as web apps and as such can be accessed by any computer with a browser but I don't think this is what you want to do, although it might do what you want.
A little more information as to the type of working you envisage would help us to help you if possible.