You see it is entirely possible because Aizawa shows evidence of caring about Midnight a bit more than others, and yes in the fandom Aizawa has a son, Shinso, but if you think about it that makes sense. Since the creator tends to pull sneakies on us it's only logical. Also, you know how people can be bred with quirks such as Shoto? Well, Midnight's quirk emits a scent from her body that puts others to sleep, the amount of octopus that Tamaki eats would normally exhaust most people even though Amajiki is a very active person. Hense maybe Midnight's quirk is giving him a bit of immunity, and even though technically Aizawa's quirk lets him get rid of other quirks temporarily, you'll notice how it makes his hair go up when he uses, so technically, yes, the adapting animal traits are possible with that note because genes like to go down a bit crazy in this universe. Knowing midnight's emitter quirk, it probably takes energy, and energy is obtained by food, so it's a strong possibility that Midnight eats a lot of meat, remember that octopus is a lump of meat, and also any fatty foods, such as clam which is both. So in a very stretched possibility, Amajiki can be Aizawa and Midnight's son.