Yes, you can add a column for the field on the taxonomy admin page. Please notice the default column name to show the custom column before/after it. See this screenshot https://imgur.com/a/Z41PD4M
If the default column name is wrong, the custom column won't display on the taxonomy admin page.
For anyone who is having troubles with this like I was. Note that for Taxonomies, it isn't title but name. So if you are wanting your column to be before and after the first Name column it need to be set at "before name" or "after name" and not title like the defaults can be in documentation.