People might think this is connected to fear of rejection. This is not about rejection. See the folowing reasoning. If you smell bad, you will produce rejection. But all of these are about aesthetics. If rejection is the case, should we speak about aesthetical responsibility? Sounds weird, right?
Also, there are many local rules. What is wrong in one society can be considered good in another. And then we cannot drag in survival here.
Regarding responsibility. What is that? If you broke your own glass at home, you probably would feel uncomfortable. Because you need to buy a new glass and clean the place from its fragments. If you have empathy and you broke your friend's glass, you probably would feel uncomfortable as well. It depends on her economic conditions as well. Up to the degree that if hers are worse than yours, you can feel even more uncomfortable than if you broke your own glass. And you probably would like to excuse at least.
But the person you describe is bad. Lacks any empathy. Does not feel uncomfortable when breaks someone's glass except his own. Does it mean he will not excuse? Not really. He might not want to spoil relationships with his friend and will excuse. For his own sake, of course.
But what is responsibility then? Just a feeling that you did something wrong or right? But what is moral responsibility then? When you made a silly mistake and failed an exam are you morally responsible for that? When you committed a crime and left evidence for that are you morally responsible for leaving them? Note, you are not legally responsible for leaving them, law does not punish you for leaving evidence but for commiting a crime.
So, if you think these are moral responsibilities, which is suggested by MauroALLEGRANZA's comments (one could blame herself for commiting a mistake or leaving evidence), a human lacking them is inconceivable. If you think they are not, there are no moral responsibilities.
There was a comment by Conifold that people do not use reasoning when commiting actions. Well, they use intuition in most cases. Indeed, sometimes people can not give you a reason better than "I wanted to". Sometimes they can't be explained, like "Why did you want to eat chocolate?" and then it is not intuition. In many cases, though, they can. Intuition works with reasons. People just can't formulate them as soon as they are asked. Sometimes intuition might be wrong: if you put a yoghurt packaging to a sink and throw a spoon into a garbage can, you, probably, won't argue you had a reason for that.