It would be easy to think so. And it would be correct -
-If the spring is nonlinear, (progressive) like the rear springs seem to be, where the coils at the end are not the same spacing or diameter as the coils towards the center of the spring.
-Or if the springs were completely squashed down all the way, where all the coils are 100% bound up like a resting snake. Then of course, it's not a spring anymore, and simply a block of steel.
But if a spring is 100% at rest, and another, identical spring is 50% compressed, those two springs will still behave the same if you took the exact same amount of weight and pushed on them. If the weight moves one 2inches, it will also move the other one 2 inches too (even though it's 50% compressed already), because the spring constant is still the same, which is *k*. The one thing that the second spring has a disadvantage, is that it has less travel distance than the first, and will bottom out sooner.
Actually, this sounds like a good experiment. Get two identical springs, an internal spring compressor, and two identical heavy weights.......compress one spring, and set the weights on the springs.....see if the uncompressed spring, compresses more than the other.