Yes, your cat can learn new tricks!
Training cats is definitely different than training dogs, but with a little work your cat will amaze you with the things they can learn.
Cats learn with positive reinforcement, such as their favorite snack. Punishment is not only ineffective, but creates stress and can cause other behavioral issues, so stick to rewarding good behavior with diced chicken or their favorite treat. Get your cat used to receiving awards for specific behaviors.
Start simple and practice often, but not too often. You want your cat to know why they're being rewarded, but not bore them or wear them out. You can even use a clicker to improve your timing when handing out rewards.