Q. Can I just leave the previous school 1098T off?
A. Yes, that's exactly what you do.
I assume the student is your dependent and you are entering the 1098-T on your tax return, to claim the credit.
The 1098-T is only an informational document. The numbers on it are not required to be entered onto your tax return. You claim the tuition credit, based on your own financial records, not the 1098-T.
If you claim the tuition credit, you do need to report that you got a 1098-T or that you qualify for an exception, so you do need to enter the 1098-T. (the TurboTax interview will handle this)
I will post a separate reply describing what you report on your daughter's tax return.
