Can someone cheat and still love you?

I think no. I was having this conversation with a friend and her husband cheated on her and he keeps telling her it was only once and that he wants to be with her and it was a mistake and she clearly wants him back and wants to work it out. I’m not judging her and i stand by her no matter what she chooses, But i think if some one loves you they will not cheat on you no matter what. It’s my opinion and she believes it will never happen again but i beg to differ.