Sure, why not.
Just please note, aeronautics does not defy gravity. It makes use of knowledge in mechanics of fluids to produce vouyancy, which ultimately is a manifestation of gravity.
To be more clear, infinite knowledge does not allow you achieve any arbitrary goal you care to imagine. It informs you on what means can be used to achieve the subset of goals that are feasible to begin with.
Throwing arbitrarily large amounts of computing power to the same problem may as well result in a flood of responses: "No. Nice idea, but it has been tried before N times, last time at T. It never worked because of X, Y, and Z"; "No. Nice idea, but it has been tried before N+1..."