Not even in the pre Open era. It woould have been harder then because so many women didn't play the Aussie before the mid 80s.
The closest anyone else has come was 83 and 84.
Evert was in 6 straight finals from 1984 to 85 but because she skipped the 83 Aussie she and Martina couldn't hold all four early in 1984. Had Martina won vs. Sukova at Oz a few months later it would have been the 4th Martina-Chris final in a row AND in a calendar year. But Sukova won of course.