If a student receives multiple awards, is there a way for them to complete the post-acceptance application once to satisfy the requirement for all scholarships awarded?

No. The post-acceptance application is tied to each specific scholarship opportunity because the questions can be tailored specific to that opportunity (some could require more information than others). Students can go to My Applications on their dashboard to view the status of all of their scholarships and review previous answers to save time in answering the same questions for multiple awards.