No, because any re-trial has to take place as if there had never been a trial in the first place.
The Court of Appeal will, when deciding whether to order a re-trial, consider whether the original jury was presented with the correct evidence and whether they were correctly directed by the trial judge. Thereafter, what they were told (or how they were directed) becomes completely irrelevant. Any new trial has to 'go back to square one' and consider the original evidence (and any other relevant evidence which is admitted by the court) as if it was the first and only trial.
Chris