This is very little information.
While in the kali installer try to get on a terminal, run lsblk to list all block devices (i.e. storage devices), to see if the operating system detects it.
If yes, try creating a partition at the unallocated space with parted and see if the installer will detect it then.
If no, then it is more likely to be something with the firmware or BIOS, try all the BIOS settings for SATA as you already started.
Try another Linux installer to check if they detect the drive to find out if it is specific to that kali installer.
I hope this helps.