Early Action

Applying to College
1

From what I have found, Princeton’s early action application status allows you to simultaneously apply to any other public university in non-binding applications, as well as any college/university with rolling admissions. If I already applied to a lower tier private school early action (not rolling admission)(because I was given a quick application and scholarship consideration) can I just pull that application and instead apply to Princeton early action? Or is it too late since I submitted it already