Would a guy break up with a girl if he felt he didn't deserve her?

Say the girl had a lot going on for her and when they initially got together he thought things would be going well him too. Things rapidly declined for this guy and he became an alcoholic and depressed.
Would this alter how he feels about the girl to the extent he would actually break up?
Would a guy break up with a girl if he felt he didn't deserve her?
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