Yes, you should introduce yourself in a cover letter so the hiring manager understands why you’re the right person for the job. It’s also a great way to showcase your enthusiasm for the position. Here’s an example:
Dear Ms. Ramirez-Lopez,
Ever since going on a fifth-grade field trip to visit the New York Times headquarters, I’ve dreamed of working as a journalist there. As the premier newspaper in the country, it would be an honor to join this prestigious team as a full-time reporter.