The Social Security Administration doesn't even mention submitting by mail as an option on its website, but for replacement ...

Here's how to get a new Social Security card: Find out if you qualify to request a new Social Security card online. Create or use your my Social Security account. Fill out a paper application.

You can fill out the free Social Security card application form (SS-5) on the SSA website and submit it in person or by mail. Show valid, unexpired documents such as a U.S. passport, driver’s ...