will a bad speed sensor cause the rmp, speed, and odometer to stop functioning? on 2000 Nissan Pathfinder

i notice this happens shortly after the 4wd has been engaged for the first time for the winter, while driving the gauges will go out..this includes the fuel gauge and temp gauge.. then they will come back on .. mostly after a brief time after the car is shut off and has sat for a couple of minutes

Asked by for the 2000 Nissan Pathfinder