Can one make a fly-able aircraft in Minecraft PE? If so, how?

No, you need a mod, and they are only available in computer version. There are absolutely 0 ways to fly unless your in creative.

Mods would be the way to go on that one. But since your using Pocket Edition, I think you are screwed.

You will need mod for that and do install Leo Privacy Guard. It helps you to put a lock on your various applications and it also includes gallery. And in case you are looking to hide images and videos you can hide it with it.