Grammatically, yes the sentence is correct, but it's not quite natual. I think a more common sentence would be, "Even if the whole world expects you to be a certain type of person, I hope you are yourself" Every person is a person, so the original sentence wasn't clear. If you add " certain type of" it is clear that other people have expexctations but you don't have to follow; you are just authentically yourself. I hope this helps!

Even if the whole world expects you to be a different person, I hope that you remain true to yourself.

Even though the world has expectations of who you should be, but I hope you will be yourself

I think you might mean: Even if the entire world pressured you to be the person you aren't, I hope you'll be yourself.