Yep: I have done it.
However, wish I could give you more specifics. In my case, the original film over the glass of a 1979 Data Marine knot meter LCD display began to crack and peel away from the the underlying glass. I could still see the numerals on the display, but just barely.
My first attempt was to carefully remove the film from the knot meter display surface. After I did this, I couldn't read anything. Then I transferred polarizing film I peeled off a Dollar Store $1.00 calculator. Was an improvement, but not much.
Next, I ordered polarizing film from a site on ebay. Too long ago; so I no longer have the reference. This material did work. Not nearly as good as the original Data Marine display before it went bad. But I can at least read it again.
Looking just now on eBay, Polarizing film is readily available for not much $'s at all. If your display is now unreadable, you don't have much to lose by trying. Note however that the orientation of the film when you apply is important. But at only (say) $0.25 cost per try, you can experiment until you find the best outcome. Also, there are numerous types of polarizing film. If you can find one with a description for the old B&W LCD's try those first.
When you take the display apart, just be real careful not to turn on the 12V until you are sure that you haven't shorted anything out.