I don't know what type of sorority you're talking about (NPC, NHPC, local), but I can tell you that it all depends. I come from an NPC chapter that doesn't do formal recruitment. One semester, about 4 years ago, we had a girl who lived with three of the sisters, became very close with those members, and was initiated in her last semester of school. We were able to do this as we always struggled to find new members, and at that time, we were nowhere near total.
As for a school that has scores of young women looking to join... this probably wouldn't work. Initiating a member who will never contribute to the sorority as an active collegiate member might be completely out of the question.
Try to become a member now, but if things don't work out as an undergrad, don't be too surprised by it.
After that, if you're able to become a graduate member... great!
Good luck.
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