Yes. Some dogs do not show DA until they are much older and some start out soon and some don't at all. I have had pups want to destroy each other at three months and I have also had dogs that have been okay with dogs until they reached an older age and I also have cold dogs who love animals. DA is expected but doesn't always happen. Even in a cold dog never trust it not to fight.
Beastley will be 3 in Nov and as of yet he hasn't shown signs of DA, he loves playing along the fence line with the neighbors dog. It's a whole nother story with my other dog. He didn't show DA (even though he isn't a APBT) until he was 8y/o and 6 mths after owning my APBT. I am always out with my dogs just in case. I have been through the terrors of a severe dog fight and it is nothing pretty or cheap.