It means 'a heavy drinking bout', and goes right back to the 1850s, both as a noun and as a verb - you didn't need the word 'drinking': 'binge' meant drinking in those days.
它的意思是‘狂饮’,这个意思还得回溯到19世纪50年代,binge可同时作为名词和动词——根本不用加drinking, binge在那个时候就是‘喝酒’的意思。