One taxonomy template for all categories?

I’m looking at the Codex about template hierarchy. However, I have a custom post type with many categories from a custom taxonomy I created also.

This post type allows users to add new categories to their posts. I read in the codex that I can create a taxonomy-{taxonomy-name}.php template file for each of my taxonomies. What I am wondering is if I can create one template file to “catch” all of the CPT’s categories.