Does the Nikon D2x shoot video?

Does the Nikon D2x shoot video?

All of your answers are in the manual.

No. The first pro level Nikon to shoot video was the Nikon D3s and follow on cameras like the D4 and D4s

If you are looking for an economical, robust camera that shoots video, look at the Nikon D800, D800E or new D810

Frankly, if your goal is to shoot video, look at actual video cameras. Panasonic, RedOne, ARRI ALEXA, JVC, SONY and CANON all make excellent pro level video cameras. Visit their sites to see what is available.

If you are primarily a still shooter, one of the Nikon camera bodies listed above would be your best choice

Fairly confident that when the D2x came out dslr film making was unheard of.