Is there a way to reverse damage you have done to yourself in a job interview?

I seriously doubt it’s recoverable if the interviewer feels the same way, but you might as well try. I think it’s a good idea to send him and others an email acknowledging some of your mistakes, which you could say were driven by your strong desire to work for the firm, and then re articulate why the firm is a great fit for you and your career aspirations and why you’re a great fit for the firm and role. I think it’s important that the interviewer who has a bad impression hears from you directly, although it will also help if you can get others to vouch for you.

Otherwise, I’d focus efforts elsewhere. When interviewing (or in life in general), don’t be a bull shitter; be yourself, be confident and energetic, and be prepared. Self promotion in interviews is critical, but there’s a clear difference between polished confidence (thoughtful, articulate responses, good eye contact) and bull shit (exaggeration, disingenuous or fluffy answers that demonstrate little thought, bad eye contact, over confidence). The two are obvious to interviewers and the latter is very offputting. It’s also important to connect with the interviewer more personally to demonstrate you have a good personality and are down to earth (smile, crack some light jokes, find common interests/experiences, take a genuine interest in the interviewer, etc.).

Everyone’s screwed up interviews so don’t beat yourself up over it. Use it as a learning experience to improve for the next one, and prepare your behavioral responses ahead of time (STAR method) since that’s the MOST important part of a hiring decision. Good luck!