School will ask for a final transcript.
Is there a high school diploma option for students who have not successfully completed the IBD requirement?
Would your non-completion of the IBD diploma allow you to register for college in your home country?
Will your transcript state that you have graduated and received a diploma. If you have not received a high school diploma, then yes, your admission can be rescinded.
eta: certificates are issued to indicate completion of diploma courses and exams for non-diploma candidate students.
In the US, especially if you attend public school, you receive a diploma based on meeting your state’s requirement for credit accumulation and exams. IF you complete the requirements by your state to be awarded a diploma, you will receive your hs diploma even if you are in an IBD program and you don’t complete the requirements for an IB Diploma.