No, you should apply to the marriage registry where both men and women are registered.

Legal basis:

"Marriage Registration Regulations" Article 4 When a mainland resident marries, both men and women shall jointly go to the marriage registration office where the permanent residence of one party is located for marriage registration.

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 jointly go to the marriage registration office where the permanent residence of the mainland resident is located for marriage registration.