I got my first computer at the age of 4. I learned to program BASIC on it when I was 6. At 12 I was building computers, fixing other people's machines, even phone lines. I'm now a platform engineer, working with cloud computing, kubernetes, serverless, the works. I run a small home lab with a few self-hosted services. My home network comprises of many VLANs for different purposes, my router runs OpenWRT which I tinker with a lot. I own 2 3D printers, one of which solely so I can tinker with it, both at the hardware and the software levels. I spend a lot of time reading and learning about new tech, networking, computers in general.
I'm also a rock climber. Last year I hiked up Mount Snowdon in Wales. I have done the Inca Trail in Peru to Machu Picchu. I have climbed in Brazil, England, Wales, Greece, France. I'm also a cyclist. I love playing football and basketball (despite being fairly short at 1m65cm). I have been trying to get into running lately, mostly because it's very easy and quick to get some exercise in, since I don't particularly like it. I have gone camping for weeks so I could climb in remote places and/or on the cheap, but also for the sheer enjoyment of it.
I have met friends on both camps, and I'm still quite socially awkward and relatively anxious. I still find it hard to relate closely to many people. That doesn't stop me from trying - and failing a lot.
The idea that those worlds are at odds on a fundamental level absolutely needs to die. It's not good for us nerds, it's not good for us athletes/workout enthusiasts, it's not good for us nature people.