有would rather not have done sth的结构吗

有。would rather后面接不带to的不定式。宁愿做某事：would rather do sth。宁愿已经做了某事（实际上没有做）：would rather have done sth。不定式的否定形式是直接在不定式前面加not。变成wouold rather not do sth。或would rather not have done sth。