1993 Sun Yat-sen commemorative pocket watch, can other watch manufacturers issue it?

Not without authorization.

According to Baidu Encyclopedia, Zhongshan Memorial Pocket Watch is a product design patent produced by Nanjing Watch Factory and a commodity with intellectual property rights. Without the permission of the original factory, other manufacturers cannot produce and distribute the same product.

Sun Yat-sen Memorial Pocket Watch was designed and produced by Nanjing Watch Factory in 1993 to commemorate Dr. Sun Yat-sen.