Turkey feathers seem to be king, but Goose feathers are also great, and chicken feathers will work, but not as durable. There are museum samples of Native American arrows, that had anything from Jay, to wood pecker tail feathers for fletching. They used what they had available. So can we.
As for mixing, and matching chicken, and goose feathers....... I don't know.
But there might be problem with different stiffness, and it might cause an airfoil anomaly, or some sort of disturbance aerodynamically . But try it and see what the results are. And then let us know. But like bow, and shaft material,we use what we have available at the time of making a bow,or an arrow, and that is exactly what our ancestors did, till they had access to better wood, for bows, arrows, and feathers for fletching material.
But if you have enough chicken feathers, and or Goose feathers, just use all of one type on an arrow, but if you want to experiment, that is how we gain knowledge. It is either, great, OK, or well, now I know not to do that again! I don't think that our ancestors, just woke up one day, and thought, gee, I will make an arrow, and use a three fletch, and the feathers will be either be all from the right, or left wing, and not mixed. Trial and error has been one of our best learning tools.
Good luck, and tell of your results. That way, we can know to try it ourselves, or not to waste the time.
Wayne