snap bid

Impossible-no
Very highly unlikely-yes

Do you have people in the sorority who will push hard for you if they need to snap bid? If not, forget it.

Snap bids are given if a sorority doesn't make quota. Bid lists are handed out and if a group is short, they could give out some snap bids before bid day activities begin. Some may even give out snap bids for a couple days after if a girl drops immediately. Snap bids often work out better for girls who continue through rush, maximize their options, but kinda end up no where. It may be that zero sororities give snap bids this time.

Honestly, I don't know why you want to be in sorority that dropped you after round 2. If you can only be happy in a certain one(ones) then please don't accept a bid from anyone else because you'll just mess it up for the sorority and someone else who could have received a bid.

Maybe you'd have a better chance trying for informal, but not many do that either so no guarantee there either.

Rush is all fun til you get to second invite. Cuts are brutal and it's pretty crushing. You're lucky if you have a full schedule. Maybe you need to give what you have left another look and you'll end up somewhere that's a better fit anyway.