Yes, your website can be a blog!
New software such as Movabletype and Typepad are progressively making their blog software look more and more like websites.
For example, they are making it easier to add (with a little help) special navigational features such as "About", "Home", "Specials" and any other menus that you wish.
Of course, the main part of your website will then be blogging. But, for updating your clients and visitors about your latest activity, even on a daily basis, this could be the route to take.
It also adds a slightly less formal aspect to your website, where you appear to be conversing or chatting with your "visitors".
You can even activate the comments section, and let people drop in their views, questions and suggestions.
This actually means that you don't have to depend on your designer 24/7 to update some aspects of your website - specifically your latest activities. You can manage parts of your content yourself.