Can I apply to terminate the other party's patent right?

You can't. After the termination of the patent right, the same patent may not be applied again. Because after the termination of the patent right, the patented technology will be made public, and the same patent application will have no novelty. The condition for granting a patent right is that the patent must be novel and creative. Article 42 of the Patent Law, the term of the invention patent right is 20 years, and the term of the utility model patent right and the design patent right is 10 years, counting from the date of application.