The CCP's official position is that COVID-19's origins are an unresolved scientific question, not a political one.
[Google Translate]: The tracing of the source of the new coronavirus is a serious and complex scientific issue, which should and can only be researched by scientists from all over the world.
外交部就美发布新冠病毒溯源问题解密版报告答问, gov.cn, quoting the Ministry of Foreign Affairs, October 2021.
[Google Translate]: Zeng Yixin, deputy director of the National Health Commission, said that the traceability of the new coronavirus is a scientific issue. The Chinese government has always supported scientific traceability of the virus and opposed the politicization of traceability.
国新办举行发布会介绍新冠病毒溯源情况, gov.cn, quoting 人民日报 (People's Daily), June 2021.
Beyond this, the CCP and Chinese media has repeatedly pointed to a China-WHO report (February 2021) interpreting it as meaning the origins are still "uncertain":
[Google Translate]: Environmental testing after the closure of the South China Seafood Market has generally found COVID-19 contamination, especially in aquatic product stalls. The COVID-19 may be introduced through infected persons, contaminated cold chain products, animal products, etc., but it is still uncertain.
中国-世界卫生组织新冠病毒溯源研究联合专家组举行新闻发布会, gov.cn, quoting 卫生健康委 (Health Commission), February 2021.
The above article is based on a China-WHO report:
Environmental sampling in Huanan Market from right at the point of its closing revealed widespread contamination of surfaces with SARS-CoV-2 compatible with introduction of the virus through infected people or contaminated cold-chain products, animals, and animal products.
COVID-19 Virtual Press conference transcript, 9 February 2021.
The CCP also has also repeatedly called for investigations into the USA's Fort Detrick (which western media calls e.g. a disinformation campaign):
[Google Translate]: Stop attacking and discredit China, respond to the reasonable concerns of the international community, accept visits by WHO experts, and open the Fort Detrick Biological Laboratory and Biological Experiment Base.
外交部就美发布新冠病毒溯源问题解密版报告答问, October 2021.
So in an official sense, the CCP clearly considers alternatives to the "wet market origin theory" possible.