Can my twin and I join the same fraternity?

My twin and I have been through so much in our lives from moving from one foster care to the next, playing tennis together competitively, to learning calculus up in the middle of the night and both getting into our dream school WSU. But now we are both going to rush a frat. Since we have been through everything together, is it possible we could both be in the same fraternity when it's all said and done? Or is this too cliche? I realize we are twins and not clones or physically attached or anything haha but seriously we agreed it would be cool if we could both experience greek life in the same house. Do you think this is possible or is it possible my brother will end up a different house?