A cat in Minecraft is called an ocelot.
Ocelot
It can on Minecraft.
You can only tame an ocelot with fish and it the only why to breed cats (as I know of.)
feed them raw fish
spawn it with an ocelot egg
its a animal that if you tame it, it will turn in to a cat that helps you just like if you tamed a wolf on minecraft.
Tame an ocelot by right clicking it with a raw fish.
Right click without anything it will eat.
The jungle wasn't implemented in MC:PE V.0.8.1.
Yes, you can tame an ocelot in creative the same way you do it in survival. To tame an ocelot, hold any type of uncooked fish in your hand. The fish cannot be cooked. Crouch and slowly move towards the ocelot. If you make too much movement, ocelots will run away. Once an ocelot slowly walks toward you, don't move and right click it with your fish. The ocelot will eat it. This may require more fish. It may take some time to get an ocelot to come to you, but you have to be patient. When the ocelot sits down then it is tamed.
Stand still in jungle holding a raw fish it will come then give it the fish