I have used a number of web sites and web applications that define their own keyboard shortcuts. They are usually poorly documented and offer little value over conventional mouse-based use.
As Galwegian mentions, you should be careful of interfering with accessibility options, especially if you want to comply with ADA Guidelines for the Web.
You should also test your web app with respect to keyboard shortcuts in popular web browsers. Some people use these, and get annoyed when your web app overrides the browser's keys.
I think it would be more worth your time to test tab order for web forms and other page elements. When I fill out web forms, I tend to use tab to advance to the next form field, but I find some web sites in which a tab jumps to some unexpected place on the page instead of to the visually adjacent element.