Personally speaking,no I think it is not possible NOT to feel pain or hurt.
However,if your husband has been brought up to supress these feelings,then he would say he doesn't have them.
Actually he DOES have them, but they have been driven so far down in his emotional makeup that he firmly believes they are not there.
This can be a dangerous situation,because (like a pressure cooker) these supressed feelings can build up and ultimately explode.
All I can say is,try and talk your husband about his emotions,and the worry that I feel you have about his denial.
Often men see such emotions as weakness,all you can do is convince him that these feelings are healthy and necessary for a well balanced emotional life and relationships.