Things always have a way of surfacing. Your transcript will show your previous school. Like a previous poster said, some greek offices will check with your previous school when you register for recruitment.
Now, my brother did move from one fraternity to another. The first was a non-IFC group (BUX) and the second was an IFC. You could always do the reverse and not be in violation of IFC agreements.
It's your life so you should do what you choose, however, I think your question has been unanimously answered with a "no."
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