Yes, some Chinese domestic cats do have short legs. Like other cat breeds, short legs aren't a characteristic of all Chinese domestic cats, but some do have them.

Short-legged cats are usually the result of genetic mutations or crossbreeding. If the short-legged gene existed in the ancestors of Chinese domestic cats, they may inherit this gene and produce short-legged offspring. Additionally, crossbreeding Chinese domestic cats with other short-legged cat breeds may also produce short-legged offspring.