However, cats can learn to walk on a leash. In fact, there are collar, harnesses, and leashes designed just for cats.
Cat harnesses are designed to stay securely on a cat, even when the cat is on a leash. You can buy a simple nylon harness for your cat or you can find more deluxe models that look more like padded vests. As long as the harness is completely adjustable, it should work well.
To accustom your cat to walking on a leash, you should not use the same techniques you use to train your dog. Cats do not do well with negative correction, so giving a quick tug on the leash when they do not stay at your side will not teach them to heel. Instead, praise your cat when he does what you want and ignore him when he does the wrong thing. Although you can teach your cat to tolerate a leash, don't expect him to consistently heel on command.
More info about cats collars