It depends on the absolute quantity and relative proportion and maybe the specific proportion (percentage of sex hormones that are now testosterone versus estrogen) -- maybe after a prolonged bender a metrosexual could start turning into a male lesbian, for example, but the effect would be temporary. A lumberjack growing tits not so much or a lumberjill getting a beard probably not, as I am inclined to think the chemical transformation in question is more likely to be one way.
I am very good friends with a small brunette lady who would be described in the medical journals by the younger generation as a Milf . . . she reminds me even today of a nervous, espresso-drinking little dachshund in a good way and she was, in her own description, stone cold nuts and was and is and has been for a very long time very enthusiastic about jumping the bones of a small coterie of political, journalistic, and pharmacology types and likes three ways, three-on-one, three-on-two and other therapeutic methods . . . a lot of this is down to a slightly higher testosterone level, so if she were an alcoholic, maybe things would be starkly different.
I heard about men who really like the yeast shit and/or wacky tobaccy growing tits or females growing beards years ago. Similarly, there is a mixture of solid science and folklore out there about hypogonadism from long term opioid use for any and all reasons . . . I have no personal experience as I started with extra Vitamin D, phosphorus, calcium, magnesium, and strontium decades ago to prevent any osteoporosis and I am sure to get some form of whole opium on a regular basis so that the morphine, codeine, and papaverine ensure that my blue-veined custard cannon does not fall and can't get up.