Of course it's possible to like 2 different things..... the idea that being a ファン of one thing excludes あなた from being a ファン of something else is ridiculous. Even if the 2 stories being compared are pretty different. People are way もっと見る complex than that.
あなた can like whatever あなた please. I for one don't like Twilight, but I like The Hunger Games. I don't get why anyone would even compare Twilight to The Hunger Games, they both have nothing in common except for maybe the silly 愛 triangle. Either way, it's your life, if あなた like both, that like both, no one can tell あなた that あなた can't.
I'm sure there are people that like both series,and some that prefer one over the other.I have seen the Hunger Games movies,but I could not get into the books.I started 読書 the first book,but stopped after chapter 4 または 5,I think.As for Twilight,I prefer Twilight over the Hunger Games,both the 本 and the movies.It was an easier read (for me anyway) 読書 the Twilight 本 than the Hunger Games.I for one definitely prefer Twilight over THG.
Yes あなた can like both. People have the ability to have multiple and different interests. The problem I have is when others start to say that twilight and the hunger games are very similar; yes they do have the 愛 三角形 thing and the sc-fi genre. However, they have drastically different themes and development. Plus, the characters are not very similar and they have two different story lines.
It is possible to like もっと見る than one series of awesome books. Saying this would be like saying あなた can't like CSI:科学捜査班 and Law and Order または something equally ludicrous. If your a book enthusiast who enjoys 読書 great 本 it shouldn't be considered a crime to like もっと見る than one series of equally awesome books.
It's up to you. If あなた like both franchises, fine. If あなた dislike both franchises, fine. If あなた like one franchise and dislike the other, fine. No one can force あなた to make a certain choice. It's all up to you.