'It' is telling you to back up?
The hard drive won't be telling you anything directly, it will be some software. What software?
Granted I don't use windows much anymore, but I never had or used any continually monitoring HDD software. Just a drain on resources really. Predicting HDD failure is almost impossible. SMART monitors can only give you a rough guide as the the 'health' of a drive.
My 1st thought is it may be a virus/malware. "Your HDD is failing, download free software to backup!"
If the drive is failing, a warranty will cover replacement, any data loss is tough luck. The warranty does not a cover a drive that is "about to fail".