Of course it's possible to like 2 different things..... the idea that being a 粉丝 of one thing excludes 你 from being a 粉丝 of something else is ridiculous. Even if the 2 stories being compared are pretty different. People are way 更多 complex than that.
你 can like whatever 你 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 爱情 triangle. Either way, it's your life, if 你 like both, that like both, no one can tell 你 that 你 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 阅读 the first book,but stopped after chapter 4 或者 5,I think.As for Twilight,I prefer Twilight over the Hunger Games,both the 图书 and the movies.It was an easier read (for me anyway) 阅读 the Twilight 图书 than the Hunger Games.I for one definitely prefer Twilight over THG.
Yes 你 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 爱情 三角形, 三角 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 更多 than one series of awesome books. Saying this would be like saying 你 can't like 犯罪现场调查 and Law and Order 或者 something equally ludicrous. If your a book enthusiast who enjoys 阅读 great 图书 it shouldn't be considered a crime to like 更多 than one series of equally awesome books.
It's up to you. If 你 like both franchises, fine. If 你 dislike both franchises, fine. If 你 like one franchise and dislike the other, fine. No one can force 你 to make a certain choice. It's all up to you.