yes of course, but only since 1964.
A lot of people actually thought Jimmy Carter was more conservative than Gerald Ford. Ford was very pro-abortion and nominated liberal judges to the Supreme Court (Justice Stevens). He was a country club Republican, not a conservative.
Nixon was a moderate, with no real ideology. He brought in price controls on the economy.
So in your mind every election in which the democrat defeated the republican, at least before 1964, it was the more conservative candidate winning?