User blog comment:Xilinoc/Ch. 567 (Rukia be like "I ain't even scared though")/@comment-11721917-20140206050355/@comment-2211792-20140206064418

> Not unless her zanpukto is a dual fire and ice type (which would be nice) but zanpuktos are limited to 1 type.

Rose and Mask's little exchange pretty much established there is no zanpakuto which can control two different whatevers. No fire and water (that was an illusion), and certainly no cold and heat for Rukia.