OOS Tranfer Sophmore??

<p>Hi I will be attending a Public University in Midwest this fall. I'm planning on transferring to a different college after my freshmen year. No disrespect to the school i will be attending this fall but I'm really looking to graduate from a top school for my major which is engineering. I'm currently looking at schools like UIUC, Purdue, GIT, and other. I'm also considering some private universities as well.
My question is that is it really possible to transfer as a sophomore to a out of state public university. How does it compare to the difficulty of transferring to a top private school?</p>