I’ve done full-time work and part-time college and still had time for leisure activities. My work weeks were about 60 hours, before getting into errands and such.

I’m not a parent myself, but my friends who are parents have hobbies and we have social interactions and meetups. Sometimes with their kids present, sometimes without.

I can’t speak to your situation. Maybe you are incredibly busy. Either way everyone on Earth gets the same 24 hours per day. And while I was lucky enough to be born in North America, I wasn’t born into any sort of extravagance.

Plenty of people have to plan and schedule leisure activity, including gaming. And there are plenty of options if you only have time for quick bursts here or there. Puzzle games and turn-based games are great for that.