Army Directive 2016-07 did away with a recovery period of twice the length of the profile. Therefore it is possible to receive an APFT after you complete the profile period.
Army Directive 2016-07 states:
(3) Soldiers will no longer have an automatic recovery period after the
termination of their temporary profiles. Additionally, temporary profiles will no longer include the military physical profile serial system (PULHES) characterization. Temporary profiles with MRC and DL characterizations will be for duration only. When renewing a temporary profile, profiling officers will update the functional activities the Soldier can perform. An appropriate physician will review temporary profiles lasting 180 days or longer.