No, but yes. Or is it Yes, but no.
It's a very hard one to answer, because it depends on the view of subjective reality.
For myself, yes there is a greater consciousness that I am a part of, and that really is the true part of who I am, but at the same time all the people, animals, plants and even unliving objects in the world are part of that consciousness too. We are all connected to it, but the more sentient the entity the greate the consciousness can shine through. Trees are no less conscious than humans, it's just that humans are a better conduit. Also, most people aren't away of this true nature.
Now, what does this have to do with anime and wishes? All of reality, which is yours, is made up of rules. Your form, or the human "side" of you is just your avatar which consciousness imbues with energy so it may experience reality. These rules are created by consciousness as a way to grow and exprience and without them it would be a mess. Gravity, time and the physical nature of the universe are some of these rules.
Now to get an anime character to appear, you'd have to rewrite the rules, and to do that you'd need to become way more aware. I wouldn't say it's not possible, just you'd have to be in a completely different place to make it happen.
