emily, the very best of luck to You and Your interest Group.
I am more interested in this than anyone knows.
It depends on what the Greek Situation and life is like on Your campus and the Adm. feelings.
Our Greek Advisor on My Old Campus is a Sorority Lady and hasnt done squat for Greeks. She is a detrement for sure.
Put together a Plan, have Your people in place to show what you have and why.
I did this as a Founder of a Local. Took on the establishment and another Group.
We have been there for 40 years now.
So, there is a chance! Make a good presentation and program. It will mean a lot in the long run for You!