Self-centered person.

I met this girl who's is very talented and beautiful. We spoke for a month and I got to know she's self centred and told her I want to think about whether going forward with this. She also accepted that she's only thinking about herself. She said she'll change and from the last 2 weeks, I was able to see the change. But I am hesitating despite the efforts. Can a self centred person really change?