You should be able to if deferred, not rejected, (UChicago has this option,) but I don’t see it referenced on the Defer FAQ (https://case.edu/admission/defer-faq ) so check with Admissions just-in-case. If it’s not an option, you could always apply ED2 only (see the below article.)
About applying ED or not, I found this article from the Dean of Admissions: https://case.edu/admission/features/admission-financial-aid/early-decision-right-you
I found it interesting that they state the following:
“Here’s the reality: A large portion of our applicant pool is “admissible”—in other words, they represent the accomplishments, motivation and preparation we value. But we can only make so many offers of admission as we build our incoming class. There simply isn’t room on our campus for everyone we would like to admit. During the Early Action and Regular Decision processes, about 40% of those “admissible” students make their way to being admitted. Virtually all “admissible” Early Decision I and II applicants are offered admission.”
Hope that helps! Good luck with admissions!