Absolutely! Question is, are you going to be doing a full correction, or do you just want it to be nice and clean?
If you want to go for the slick look and smooth feel (and do it right), you should do:
-Full Rinse with Power Washer (paint and as much of the undercarriage as you can, to remove salt and attempt to prevent rust)
-2 Bucket Wash Method (Hand Wash)
(Inspect if a second wash is needed...most likely it will be if the car hasn't been washed within a week or two)
-Microfiber Hand Dry
-Clay Bar or Nanoskin Sponge (for the smooth paint feel and to prepare for wax)
-Machine or Hand Wax.
Since you will be waxing and/or correcting, use a soap like Dawn so any remaining wax or protection is removed.
I started correcting then sealing small areas of my car, doing a panel at a time (since I don't have 2 days to burn on doing the whole car). I've done my hood, and right rear passenger door.
@FusionGT What car care products do you have?