Do Priority and Shutter-release modes work on a Nikon N90s with a Series E lens?

According to the Nikon Camera and Lens Compatibility Chart at Nikonians.org, no, you will not be able to use Program or Shutter-priority modes on your N90s with AI, AI-S, or E-series lenses.

Quoting a section from the chart:

Nikon Film SLR AI,AI-S,E
N90s/F90x MF1,2

Notes

  • MF Manual Focus
  • 1 Only in A (Aperture Priority) or M (Manual) modes. P (Program) or S (Shutter priority) exposure modes will not function.
  • 2 No 3D Matrix Exposure Metering.