No – capping can only be applied to the card or device used, so you must use the same contactless card or device for the rest of that day, or week if you want weekly capping. If you swap between different payment cards or devices, your payments will not be capped.
For example, if you use both a contactless card and a phone to pay for travel in the same day, your payments will not be capped (even if they’re funded by the same bank account).