Yes. The ad you see on your Facebook home page about your account protection is from Facebook. If you're seeing this message, you could be at risk of losing access to your Facebook account if you were to ever lose access to the email address you use to log in to Facebook.
We recommend that you add other contact information to your account (ex: secondary email address, mobile phone number). We also recommend adding a security question to your account, if you haven't already. Get started.