This question reminds me of a scene in the movie "Bruce Almighty". In a particular scene in this film, the main character, Bruce, inherits God's powers. And to make a date night one to remember, he pulls the moon closer to earth, to make it a big, beautiful moon.
But what he sees on television the next day, is quite the tragedy. By pulling the moon closer, in another part of the world, a huge tsunami struck.
But if you were to push the moon away, however, it is already slowly moving away from us, but won't affect us until at least a couple billion years. But if it were to suddenly move away, the tides would weaken.
Hope this helps!