There is various software that claims to recover accidentally partitioned and formatted disks (Google for them), but having written a new operating system to it I would put your chances of recovering lost data at less than 10%.
Kali Linux is very specialized software that is designed for people who know exactly what they are doing. It really is best left alone by dabblers who fancy doing a little hacking. Are you really a network administrator who wants to do some penetration testing yet gets into such a mess on their main computer? I doubt it.
You would be better off using a version such as Fedora, Mint, or Ubuntu which are designed for beginners and are well supported, and forget about the idea of hacking.