Did William shakespeare help translate the bible?

No.

Shakespeare only had schoolboy Latin and virtually no Greek, so he would be a very poor translator.

As it happens, we know who the translators were. They were 47 clergymen (except for Sir Henry Savile, the only non-clerical man on the committee) who were experts particularly in Greek. If you had suggested to them that a grammar-school educated writer of plays ought to be on the committee they would have laughed you half way to Constantinople.