Yes, it is possible to pipe the entered date into the next question. Please follow the steps below:
1. Go to the Date question.
2. Navigate to Logic → Skip Logic.
3. Set it to Skip to the next question.
4. Under Variable Assignment, select Custom 1.
5. In the next question where you want the date displayed, insert the custom variable tag ${custom1}.
Screenshot: https://prnt.sc/6FyPl9JfWe7Q
Screenshot: https://prnt.sc/Fnu1sawJYO6i
Help file: https://www.questionpro.com/help/date-and-time-question-type.html