Is there any way to clear the text messages in the SIM card without deleting them on the phone?

The text messages in the SIM card are the same as the data on your USB flash drive. They are already stored in the chip. Starting and stopping the phone has nothing to do with it. You can't delete it on your phone, you can only delete it on the card reader that reads the SIM. However, this also requires direct contact with the SIM card, which may not meet your requirements.

But there seems to be no remote way to delete the stored data on the SIM card or USB flash drive.

Supplementary answer:

Even if the PIN is wrong, it will not be deleted. At first I thought you could not access the SIM card, but since you can access the SIM card, why did you refuse to delete it using your mobile phone? It may be that the SIM has been lost, and the card has a password. Are you worried that the text messages will be discovered?

If the PIN is wrong, the card will be temporarily frozen and cannot be used. The text messages and phone book are all there. If even the PUK code is wrong, That's fine, because the card will become completely unusable.

Nowadays, PUK codes are publicized on mobile websites. You don’t need to go to the business hall to get them. If you don’t believe me, try entering the wrong PIN code to see if it can be deleted?