It's not impossible because I know it's been done before, but the school has to be open for expansion. That's the tricky part! I have a key sis who transferred to a school with no Kappa chapter, but they're not open for expansion. There are many threads on here about expansion, and there is information on the NPC website. It's not an easy process and may take time.
Btw, can you PM me the school? I'm curious.
