Thanks for everyone who responded. My real goal was to see what the physics are that make a valk impossible right now. I think I have a better idea now. I still think the dog flying planes is absolutely ridiculous. Again most people seem to say that there is no need or demand for a transforming plane. I understand the need for a transforming giant robot plane does not exist and more likely never will. That's not the question.
But anyway the only "proof" anyone posted supporting the dogs theory is that one poster said his dog figured out to unlatch doors and that video of the driving dog. While this shows dogs have some intelligence, those things don't support the idea they can fly a plane. As for the "driving" dog, with all due respect that dog is not driving at all. It was trained to move a steering wheel based on active prompting by his trainer. That's very different from actual understanding of what it's doing. If the only way I could drive was have my mom stand outside my car and tell me which way to turn the wheel the entire time no one would say I was "driving." And no one would issue me a driver's license for that. Someone can tell me how to draw all the kanji characters in the world, but that doesn't mean I can read and write Chinese. So learning how to move a steering wheel based on commands from a trainer is not driving.
What really makes me thinks the dog thing is ridiculous is the brain function and cognizance that is required to fly a plane. Flying a plane takes many hours of training. There are humans who can't cut it. The dropout rate of pilot school is extremely high. If most humans can't even learn how to fly a plane, how is a dog supposed to? The amount of evolution required to have a dog understand what a plane is, what flying is, the capacity to understand the process of flying a plane, how to read all the instruments, the dexterity involved in their limbs to operate all those instruments, and other stuff I'm not even mentioning is far far away. Just getting the dog to understand the training program is so far beyond a dog's brain power, by the time dogs evolved to be able to understand such training program would probably make them not be classified as dogs anymore. I think all this is much more impossible than making a plane that can transform into a robot. And like I said before but I think got lost somewhere, its not a matter of whether anyone would build it, what the need for it would be, how useful it would be, whether it would look cool, or whether it would provide any type of military advantage, its just a simple question of could we do it. Ghost Train provided the best answer as to why we couldn't do it, and those obstacles seem far smaller than what it would take to get a dog to start up a plane, take off, fly and manuever it to take part in an air battle and fire weapons, and then land the plane like in "UP!"
Oh one last thing I need to clarify because of the drone thing. The orginal argument was dogs flying planes and transforming jets are as they are in their respective series. So the dogs fly WWI era prop planes like in UP!, and the jets transform like they do in SDF Macross.