Not really! She (our Black Australop hen) is just resting with her leg tucked up underneath. She's conserving heat.
"Birds’ legs have an adaptation called “rete mirabile” that minimizes heat loss. The arteries that transport warm blood into the legs lie in contact with the veins that return colder blood to the bird’s heart. The arteries warm the veins. By standing on one leg, a bird reduces by half the amount of heat lost through unfeathered limbs.
from bird note