No, the D750 has a full-frame sensor, so FX. The lens only works fully on APS-C, i.e. DX cameras.
However, the lens can be attached to the D750 and you can even shoot with it. The camera recognises the lens and crops the image afterwards so that no shadowing occurs. The result is a smaller resolution image because not all of the sensor area was used for the shot.
However, I strongly advise against combining the D750 with this lens.

Further link: https://photographylife.com/using-niko...