Yes you can use CoffeeCup software to make websites for others.
They can see the website while you work on it if you have web space to load the site to, and you upload your changes for them to view.
The only way for a client to be able to maintain a website themselves is either:
1 - they own the same software that you have so they can learn to make their changes, OR
2 - you will need to build or use a "content management system" that lets the client make changes to sections of the website (much more advanced, and not a coffeecup software).
For any websites that I create, I keep the title of 'webmaster'. When the client needs changes, they contact me with the information and I update the site for them. For the clients who want to maintain their own site, I recommend the Visual Site Designer from Coffeecup as a great starting point, and help them to understand how to use it and upload their own site. This is a plus, because if they give up doing it themselves, I usually get the work. When they succeed on their own, you make a good friend who sees you as honest and helpful.
Hey, if you post a link to your site, some of us might visit?
One last note...
Make sure you are very comfortable with website design, and that you know your limitations before agreeing to build a website for someone else. They may want things on their site that you can't do, so just be careful. Good luck.
E-Learning Specialist
www.mainsites.ca is my website, and yes, some of it is crappy.