Maybe. "Many" is probably too optimistic. I personally have heard men complaining about it, and many of the men I grew up around (including my father) have been quiet, reflective personalities, not prone to complaining or crudity for that matter. Perhaps it's because I've spent much of my adult life in academia - male academics are generally much more sensitive to issues of gender, and more likely to be critical of themselves. That said, get them into an entirely male social setting, and somehow the dynamic changes back along more stereotypical lines.
I've known a lot of "metrosexual" guys (I hate that term, but that's another story) living in cities like Melbourne, who don't identify in any way as transgender, but who griped about at society that deems them to be somehow less manly because they're willing to moisturise and accessorise. I've known men, often in alternative music and art scenes, who would complain about how they should be able to express emotion as freely as women: to hug and kiss other men, to compliment one another, to cry when they're overwhelmed. None of these people ever felt female, just like thwarted males. Inner city men are hardly representative (I grew up in the country myself), but they're still men.
I like to believe, I guess, that we're an emotionally complex species that has an unfortunate habit of setting itself simple rules about emotional expression.
