http://admission.princeton.edu/applyingforadmission/admission-statistics
Princeton only accepted around 2% of applicants with a GPA under 3.5. So it’s possible, but unlikely, especially considering many of these accepted students probably have huge hooks (most will probably be top athletic recruits or development cases or have overcome huge hardship). But admission to Princeton is unlikely for everybody - it’s not a reason to not apply. You never know what will happen!