Possible with wordpress? (Loop)

Yes. Certainly possible. You have two options. Either custom code a sidebar using php, or use widgets and plugins.

The first way is a bit more complex and hard to explain on a foru, but the other option can use a plugin that adds a widget that shows recent posts from a specific category: https://ww.wp.xz.cn/plugins/wp-recent-posts-from-category/

Then you will want to use a plugin to only show specific widgets on certain pages or posts. Jetpack has this built in: http://jetpack.me/support/widget-visibility/

Hope this helps 🙂