Cats and kittens can also get hiccups like humans do. The sound may be different but the reason why they get them is scientifically the same. Cats like humans have diaphragm muscle too that can suddenly contract and involuntarily react to irritation, resulting to hiccups.
While it is a normal behaviour among cats, a cat owner should also be cautious because not all noises or hiccup-like sounds that your feline pet creates are actually hiccups. Some may be a cause of more serious health problems of your cat.