Joomla version, no. It's irrelevant. Kickstart only extracts the backup archive, it does not perform the restoration. The restoration is performed by the restoration script which is part of the backup archive.
Akeeba Backup version, yes. Kickstart 5, 6 and 7 support JPA and ZIP backup archives created with Akeeba Backup 3.3 or later; and JPS archives created with Akeeba Backup 6 or later.
PHP version, yes. See https://www.akeeba.com/compatibility.html for the supported PHP versions.
Nicholas K. Dionysopoulos
Lead Developer and Director
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