Acutely no. Long term, yes, you could die from liver cirrhosis but it's very painful and can take up to a decade of suffering before you finally die... in agony and confusion while being shamed by everyone for being a "stupid selfish alcoholic". Once you're weakened by liver disease and exposed, people will take away your freedom just to keep you from drinking again, which will lead to you being prevented in preparing for a real suicide attempt. So you will be forced to live in agony with liver disease when you could have killed yourself with a much more reliable method.