Absolutely, once you start working on your own postural issues you start noticing it in everyone around you as well. I do think anyone can gain that body awareness though, it's not just for those that have been athletic all their lives. I didn't come to having a physical exercise practice until my early 30s and the amount of internal body awareness I've gained in the past few years has been amazing. It really deepened my seated meditation practice as well.

Yoga definitely is great and I practice asana 5x per week. I will say that my injury came up during an asana class, though, and it wasn't until I really targeted my weak scapular muscle groups that it got better.