No. One purchase can only give you one reward.
If a purchase qualifies for cashback from one of your cashback rewards, you won't get an Auto Reward for it. We always give you that cashback, because it is usually the higher amount.
This is because one bank transaction can only be linked to one reward. So if you have cashback for a shop that also gives Auto Rewards, you get one reward for your purchase.
Please note: in this case you can't submit a claim for the Auto Reward.