Dreaming of being chased and attacked by cats means that your enemies will try their best to discredit your reputation and damage your property. But if you successfully expel the cat, you will overcome huge obstacles and eventually gain fame and fortune.
To sum up, if it is possible that you won't drive the cat away, then it can only be the second case. If you can't get rid of it, it means that your troubles may be difficult to deal with. You can ask others for help for good luck!