Is it normal to not want to poop in public?
Yep.Totally normal
Yes. Lots of people feel awkward pooping in public because they want privacy or worry about being heard or noticed.
Public bathrooms can feel exposed: there may be people nearby, thin walls, unfamiliar smells, or the worry that someone’s waiting. You’re very much not alone in preferring the privacy of home.
It’s fine to wait until you’re somewhere comfortable when you can, but try not to regularly ignore the urge for long stretches—doing that can leave you uncomfortable or constipated. If you need to go, the stall is there for exactly this very human reason.