Is it morally okay if I list this $100k grant under my achievements?

Maybe someone else will have a different POV, but these schools rejected you less than a year ago. Both of them. I can’t imagine that one semester at a new college will make difference….and that’s all you will have when you apply to transfer.

You are at an excellent research university.

YOU didn’t get the grant…you might have done a lot of the work to get it…but YOU didn’t actually receive $100,000….right.