Yes this is pretty common in my area (finance in London). Especially in the HR interview which is sometimes called a competency interview. You will get questions of the format "tell me about a time when you persuaded your manager to do something", or "tell me about a time when you had a conflict with another team member."

The interviewer generally expects a STAR format answer to these questions. Typically the candidate would come with two or three good stories in mind, and be able to tailor them to the particular question - many good workplace "war stories" would fit one or more of these sorts of questions if you emphasize different aspects.