This sounds like a catch-22 problem.
Maybe scales could be improvised, with a stick, some cups, and awkward-shaped chunks of chicken in one of the cups.
Or, we just use volumetric measurements, despite the slight variations they introduce when you cram pack flour into a cup instead of gently scooping the sifted. It’s a kitchen, not a laboratory or a factory.
My first example was “a cup of frozen chicken strips”.
I know I can make a guess how much they mean, but I could easily be off by a factor of 2.
It really wouldn’t be hard to have the weight listed.
You’re cooking dinner, not crystal meth.
“Frozen chicken strips” doesn’t mean what you think it means. “Frozen chicken strips” are “whatever neutral solid you want to use to carry the flavor of everything else in this dish to your mouth”.
“1 cup” of them is “However much of that solid you feel like eating with this meal”, plus any remaining that would be less than a full portion if saved for the next meal.
Forget the scale; if you’re dirtying a dish for a cup of chicken, you don’t belong in the kitchen! The proper tool for measuring a cup of frozen chicken is your dominant hand, curled into a fist around them.