I can't believe something like that would happen in the story.
It's kind of impossible to think something like that would actually happen.
この場合、次のような言い方ができますよ。
ーI can't believe something like that would happen in the story.
「その話でそのようなことが起こるなんて信じられない」=「その話の展開には無理がある」
ーIt's kind of impossible to think something like that would actually happen.
「そんなことが実際に起こると考えるのは不可能だ」=「その展開は無理でしょ」
ご参考まで!