Yes, there are two birthday reports for you to choose from:

Birthday List – Single Month report
Filter separately by each month to show the children that have birthdays for a specific month. The report does not gather the full calendar year of birthdays; it is designed to show each month individually. You can modify which month you would like to see by selecting the Change Parameters button signified by the wrench and screwdriver.

Birthday List – Full Year report
This report will show all birthdays for the children who have checked in within the date range you specify. For example, if you choose the date range Jan1-March 31 you will see the birthdays of those that have checked in during that period of time, not the birthdays that land between Jan 1-March 31.