Answer:
Another word that could be used is tale.
Step-by-step explanation:
The word story can be defined mainly in two different ways. It can refer to an account of real or imaginary events told with the goal of entertaining; or, to an account of past events in a person's life or in the development of things. In this question, we are asked to substitute the word story in the following sentence:
Because cats' stories and personalities are different, this russian blue cat's story...
In this case, since we were asked to provide a word other than narrative - and narrative refers to the first definition of story presented above -, I believe the best alternative to be the word tale. It's a synonym for story and narrative, and it relates to an account of real or imaginary events told for entertainment. The sentence would then be:
Because cats' stories and personalities are different, this russian blue cat's tale...