No, the only rewards eligible for your account are those listed on the VIP program page, in the "Your Rewards" section.

Example: If you were at Level 4 and advanced to Level 5 but forgot to claim the rewards from Level 4, you won’t be able to collect them anymore. You can only claim the rewards from Level 5, which is your current level.

If you progress to a higher level, the rewards from the previous level cannot be collected, as the opportunity to claim them was missed while you were at that level.