It would not be safe at this airport, and the ILS procedure there explicitly forbids it. In the remarks at the top of the approach plate you'll see "When local altimeter setting not received, procedure NA." (NA = Not Authorized.) Here's the plate: https://aeronav.faa.gov/d-tpp/2607/06922IL24.PDF

The reason you need an accurate altimeter for this ILS is that the obstacle clearance surface for the intermediate segment - the part where you're flying straight and level without a glideslope - lies atop the very mountains these pilots crashed into. Vertical guidance on the missed approach is also barometric, and there are mountains in that direction too.