No, the Exposure Delay is the time after pressing the Shutter Release, that both the Mirror AND Curtain are raised, so any vibration from actually pressing the Shutter Release button may be minimized, the mirror slap will still cause enough vibration in the body to potentialy blur your shot {depebding on the quality of your head and legs.
Mirror Lockup will reduce the shutter actuation to two steps. 1st press of the shutter release button will raise the mirror and the 2nd will raise the curtain for exposure. The time between is up to you, to insure stability. It is assumed that you are using a remote shutter release, otherwise physically using the Shutter Release button will introduce enough vibration to offset the mirror up feature.
I don't know if the D90 supports mirror up, and if so how it is implemented. If it is, and if they used the same method as the D300, the Mirror Up mode is not in the menu, but is on the left side dial and is Labeled Mup. On the D300 it is the last position on the wheel.
Do you see it there ?