If you are a B range student at t30 with good rec letter and experiences at big law firms outside the U.S.,
Any chances to transfer to t14 schools?

I know some professors (they invited me to a couple of events too) waiting me to transfer, but when I talked to admission people they did not know those profs, so not sure how much this "connection" is treated important neither.
Do I still have a chance to transfer and what else can I do to increase my chances?
Thanks,