Yes it is. You can check the email address that the email was sent from, which should be [email protected]

If you’d like to keep your account active, there’s a link within the email to allow you to sign in again, or if you’d prefer not to click on an email link, you can sign in directly at bbc.com/stay

This is what the email looks like: 

I’ve been using my BBC account recently, why are you deleting it?

We have detected no activity on this account for quite some time. It may be possible that you’re signed in with a different email address or using someone else’s account. You can check which email address is associated with your BBC account by visiting your account settings.