No, adaptations are very specific to the environment in which they evolve, so taking it out of that environment risks losing the advantage it gives.
In the case of the peppered moth, the darker phenotype was advantageous in a polluted environment where the trees were black, but once pollution was reduced and the trees became lighter again, the lighter phenotype likely had the advantage. Therefore, the adaptation was context-dependent and would not remain advantageous in a different environment.