I do think society, the prevailing culture of the time, and your upbringing affect what interests people take up. Let's take knitting, to illustrate my point. Generally viewed as a female hobby, yes?
I remember coming home after a long day at 13, collapsing onto the settee, and getting out the knitting needles while I watched TV. Then, as now (if only I had the time to knit and MN ), I enjoyed it. It's nice to make something with your hands. (I enjoy constructing flat-pack furniture for the same reason.)
How many 13 year olds will come home after a long day and start knitting tonight? Not as many as did in my grandma's schooldays, I bet! Has something biologically changed about girls in the last generation or two? I doubt it. It's just social and technological changes.
As mentioned a paragraph before, I like DIY. That may, at some level, be innate. But it was developed by my upbringing. My mother made sure that I had both traditional male and female gendered toys available in the first place. I enjoyed the female gendered toys, like most girls reputedly do. BUT I also loved the construction toys, which many girls don't receive in the first place. For example, when I grew out of lego, I got plastic meccano. I have many happy memories of carefully following the instructions. (And also putting dolls in the cars I'd built.)
Thus, today, as far as I'm concerned, flatpack furniture is just a life-sized meccano kit, except now I'm allowed a real hammer!
There may be some level of innate gender variation regarding ballet, sewing, car maintenance, football. But as present, our cultural attitudes exaggerate those differences. If a little boy from a desert tribe has never even seen a piano, much less touched it, how could you know for sure he hasn't got the potential to be a concert pianist?