Hm, not that I see. Japanese characters are the same as Chinese characters in most cases, but maybe there's a difference. The Japanese kanji for marriage (tie, conclude) is a combination of a thread-spool, a soldier, and a mouth. Kind of like "tie the knot." The mouth component is a box, but it's not surrounding the soldier. No woman component is explicitly included.

Though if you take the soldier out and put in a roof, you get the symbol for "pay." Maybe there's something to be said for that.