Technically yes, this is within regulation. While I would consider administering the test quarterly to be a little excessive, the regulation gives each commander the ability to administer the APFT as often as he or she wishes to do so. If only two tests are taken a year, they must be separated by at least four months. This requirement does not apply when the test is administered four times a year.
Commanders may administer the APFT as often as they wish; however, they must specify beforehand when the results are for record. The AA and Active Guard/Reserve (AGR) Soldiers will take the APFT at least twice each calendar year. A minimum of 4 months will separate record tests if only two record tests are given. The intent is for the Active Army and the AGR Soldiers to take a record APFT every 6 months. Mission requirements often prevent the even spacing of record tests. Therefore, commanders are encouraged to test Soldiers for record as close to the record test window as possible.