I haven't seen a person who was impatient and also elegant. It could happen. But I think it's unlikely. This is why:
It is beautiful to be at ease.
When I get impatient, I don't think of myself as particularly elegant; I think of only myself. This is not at ease. This is not beautiful. This causes ulcers.
Think of how much more elegant the world would be if we would take the time to allow others to do whatever it is they wish to do. Drive slower. Chat in line at the supermarket. Play with a toddler. Finish the cup of coffee while sitting down. Take the time to really read a good book instead of rushing to the end. Slow down. Elegance is patient.