You can express empathy with the other person though. And in English, at least, this is commonly done using apologetic language, "I am sorry that you feel that

You can express empathy with the other person though. And in English, at least, this is commonly done using apologetic language, "I am sorry that you feel that way and I understand that you are upset" etc. No, "I'm sorry I made you feel that way" or "I'm sorry I hurt you."