Assalamu alaikum.
There is a hadeeth:
أن رسول الله صلى الله عليه وسلم قال: "كل غلام مرتهن بعقيقته، تذبح عنه يوم سابعه، ويحلق ويتصدق بوزن شعره فضة أو ما يعادلها ويسمى"
The best time to perform the Aqeeqa is seventh or fourteenth or twenty first day after the birth. But, if someone couldn't perform the Aqeeqa in this time due to some difficulties or something else, they can perform it later and there is no hadeeth or statement specifying a limit of time for performing Aqeeqa.
