can you break up if the person doesn’t change?

I’ve been with my boyfriend for 9 months now and there’s been ups and downs. I’ve confronted him about different things that i’m not okay with, but he’s never changed. I’ve told him to stop lusting over other girls. I notice how he looks at other women in public, even if i’m next to him. I’ve told him to help more with chores and take initiative when it comes to cleaning. I’ve told him to be more careful with his spending habits and to create a savings account. I’ve told him how he never compliments me anymore. I’ve told him how we barely sleep together. I’ve told him to get a job and find a hobby or something since he’s always playing video games. After 9 months together it still looks like it did at the start. I have started to loose interest in him and our relationship, I have stopped trying to talk to him about stuff because I know he won’t change. I do love him a lot and it would be hard to picture my life without him, but still, he doesn’t change even if he knows how I feel. If I were in his shoes I would at least try. I feel like our relationship is starting to crumble and i’m starting to feel normal when I look at him. Is it reasonable to breakup when our relationship looks like this? How do I even tell him that It’s not working anymore?