Yes, you can select a different start date for your pack at the time of purchase.
You can also extend this date further after purchasing the pack, provided it is done before your first cult class or check-in. The extension is allowed up to 30 days from the originally selected start date, and only Elite membership users can make this change twice.
For session-based packs, such as cult transform and personal training (PT), the start date is determined by the date of your first session.