Yes. Be the sorority woman you want your chapter to be. Always look good in (and not in) your letters, be involved on campus, be seen having fun, etc. Bad (or maybe worse, nonexistent) reputations can be slow to change, but once people start saying "those Betas are mostly dorks, but Suzie Beta is great!" then "I heard those Betas aren't great, but Suzie and Sarah Beta are doing great on the campus board" then "those Betas are really coming up in the world." Don't let other people's limited impression of you diminish this great group in your eyes. And if they chose you, they MUST be awesome, right?
"Traveling - It leaves you speechless, then turns you into a storyteller. ~ Ibn Battuta