Few days ago, I saw someone complaining about that in discord. Though, I just check that at pokefind website that beedrill can't learn earthquake TM (Which is most likely untrue). If it's possible, will they ever change it?
Beedrill cannot learn earthquake. Pokefind is based on the gen6 moveset for beedrill so it will most likely not ever be able to learn earthquake.
As UV_Hail has already mentioned PokeFind uses Generation Six movesets, you can find all moves that Beedrill can learn here - https://bulbapedia.bulbagarden.net/wiki/Beedrill_(Pokémon)/Generation_VI_learnset#By_tutoring