boot the Pi from the ISO using the BIOS
Nope. There's not really anything that would be considered a BIOS. You have exactly one choice for the boot device: the SD card.
You do not need to use the SD card for the root filesystem, but you'd still have to put some stuff on it (minimally a bootloader and an OS kernel). However, I recommend you first go the normal route and then think about that later.
The pi requires a special boot partition which dedicated pi distros include in their image file. This appears to be the case for Kali as well, and they have a documented process for using it. That refers to dd, which I do not think is available on windows. But since you are a student interested in hacking, security, and the pi, you should really set yourself up a linux box or VM anyway ;) You could also do this using a live CD. Mac OSX systems have dd too.
Make sure you get the correct image. Kali also has generic ARM images but those will not work on the pi. There is a potential gotcha in that the pi 2 requires a special kernel. If this is not in the Kali image, the kernel will partially boot and spew error messages. If this happens, check the first partition on the card and see if there is a kernel7.img (note the 7). If not, this is easily remedied, leave a comment and I will explain.