Following up on job applications is an excellent way to stand out and move along in the hiring process. As long as the job description doesn’t explicitly say “No follow-ups” or “No phone calls/emails,” it’s absolutely fine to follow up on your applications.
There aren’t really any cons to following up, but there are a lot of pros. You can reiterate your interest in the job, point out your best qualifications again, and include any additional info you wish you’d mentioned in your application. And making contact with a human being at the company makes it more likely your application will be seriously considered.