My courier arrived and didn't have time to pick it up, and then sent a text message saying that it would be destroyed on the spot. Can the courier company do this?

There is no reason for the other party to destroy your goods. If you haven't picked it up for a long time, the other party should remind you to take it away as soon as possible by letter, email or other means, otherwise you will have to charge warehouse rent or something; If it has been taken away for a long time or within the time specified by the courier company, the other party may inform you of their handling method and finally remind you to take it away. If you still don't take it. They will do it in their own way. But I will definitely inform you in various ways in advance. .