Is it possible a puggle can get the traits of a beagle?

Likely not. The deformed legs and head structure bred into the pug will always be a handicap to the ability of the animal to hunt. Pugs were bred to be beloved pets, not to hunt. It would be unfair to ask the animal to do so, even if it had the "nose" and instinct. It might easily overheat and injure legs. Why don't you get a small bird dog? There are plenty of great, small hunting breeds available just as easy to take care of and your mixed breed dog would have a friend. Go to the AKC website and look at the pictures and read about them. Purebred pups from decent breeders aren't that expensive if they aren't going to be show quality. You might as well start out with a good one! Or there are many purebred rescue organizations just waiting for you to call. the AKC website has links to them too. ANSWER: First, there is no such thing as a "puggle" despite what is advertised in the paper. And most likely this mix would not make a good bird dog. For one tthing, beagles are known rabbit dogs, not bird dogs.