Is it wrong to break up with someone because of their lack of job prospects/ ambition

Hi everyone, I am having problems in deciding what to do with my relationship, I know it's my choice but I would like some opinions! Basically I am a female, 20, finishing my second year of university. I have always been really goal orientated and I know what I want to do in life and what I need to do to get there (Primary school teacher) I've been with my boyfriend for 3 1/2 years, we met when I was at college. Whereas I went on to university, he went on to a minimum wage job and has gone between similar jobs and a small amount of time on job seekers. He annoys me because he doesn't have plans on what he is going to do in life and just applies for low skilled jobs and thinks he is too old to do any training (21). It is me that constantly looks for jobs and ideas for him to which he is thankful but it just never seems to happen! I really do love and care for him and if I ignored his job prospects I could definitely see us together in the future. I know I am only young but it's getting to the stage where I would like to move out and he doesn't have the finances to support himself in moving out. So yeah that's my problem, do I stay with him even though his lack of ambition annoys me and worries me. Or am I being shallow for wanting him to get a better job? Head or heart kind of predicament!

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