If you mean gender, as in some kind of feeling of femininity or masculinity, or just a set of arbitrary rules, maybe.
I think that ends up not really understanding what human culture is or how it works, or most importantly, how much it is a part of us, and inescapable.
So much of what and who we are is shaped by symbols, traditions, ways of doing things defined over time, stories, common experiences.
Look at something like motherhood. It's one of the earliest and most fundamental human relations, and experience of it is near universal. All societies have basic myths built around it, stories and sophisticated literature. It is a bar, in many ways, for what we see as a kind of perfect love and care. And it is inextricably tied up with concepts of femaleness, self-giving, and love.
That is not constructed gender roles, even if some mothers have little relation to all of that, and even if some women are not mothers.
Even arbitrary changeable things, like pink = girl are part of how we conventionally communicate and define ourselves as sexed beings within a cultural context. Human beings find our sex important and interesting enough to care about understanding - and other people understanding - our sex role in society.
The biggest weakness of the traditional feminist GC view, IMO, is not giving the power and importance of culture in human life enough credit. We will never wipe out cultural the significance of sex roles, and so they will manifest within human society in cultural ways.
The attempt to stop this or claim it's a phantasm has enabled the situation we are in now.