Possibility to apply for transfer as a sophomore once more?

My old college is pretty bad (50+ in US News ranking), but the school I’m transferring to in the fall is extremely prestigious. I won’t tell you the name because you would certainly laugh at how obsessive I am. More than one person has told me that it serves no purpose to try to transfer from my new college into HYPS, because it is almost on the same level as them. Anyhow, I’ll dig deeper into this and see if I am eligible to apply again. If I were to start sophomore year over again at my new institution because credits can’t transfer, then I should theoretically be able to apply again.