No, because a martyr is:
a person who voluntarily suffers death as the penalty of witnessing to and refusing to renounce a religion
Anne Askew was a martyr, because she refused to renounce her belief that
“the communion was a symbol of the body and blood of Christ, that the bread and wine remained thus in substance and it was a spititual memorial of the death of Christ only”; even when she was told that she would be spared if she recanted.
Anne Boleyn did not ‘voluntarily suffer death’; she was accused, brought to trial, pled ‘not guilty’, and was condemned by that trial. She was not given the option of keeping her life in exchange for something else.