No, you should go to the marriage registry where one of the men and women is registered, not the marriage registry where one of the men and women is registered.

Legal basis:

"Marriage Registration Regulations" Article 4 When a mainland resident marries, both men and women shall * * * go through the marriage registration at the marriage registration office where one party's permanent residence is located.

If a China citizen marries a foreigner in the Mainland, and a mainland resident marries a Hong Kong resident, a Macao resident, a Taiwan Province resident or an overseas Chinese in the Mainland, both men and women shall * * * go through the marriage registration office where the permanent residence of the mainland resident is located.