No, please don't. There's really no way to keep the bird safe if a cat is in the house. And even if the cat does not stalk the bird, the bird still knows a predator is there.
I wouldn't call a cat going after a bird to be hostile behavior. It's simply cat behavior. For this reason, a cat should never be punished for going after a bird. It's a cat being a cat. It's deeply impeded in their DNA. It would be like punishing someone for having curly hair. As was mentioned, having a cat (or dog) in the same room will stress the bird. A predator will stare intently at its prey. They can't help it. That's how they hunt. This sets off an instinctive fight or flight response. Incidentally, this is why when we look at our birds we blink slowly or shift our gaze away from them. Staring at our birds like that causes them to see us as a predator.You actually were nice about it, thank you tho. Can I ask, is there a way to test if the cat would be hostile towards the birds? (obviously other then getting the birds). Cause like, I would just love to get the birds, and I think they would be happy and content in my home, if it wasn't for the cat.