Yes they often do when one foot is injured or tired or cold.
They have them
Navy Log - 1955 Not a Leg to Stand On 1-27 was released on: USA: 27 March 1956
Raising the Bar - 2008 A Leg to Stand On 1-7 is rated/received certificates of: Netherlands:12 USA:TV-14
Ryan
It is best to contact a wildlife rehabilitator or veterinarian for assistance with a duck that has a broken leg. They will be able to provide the necessary care and treatment to help the duck recover from its injury. Avoid attempting to treat the injury yourself as it may cause further harm to the duck.
He could have tripped and twisted his leg, my duck did that and started walking a few days later.
Take the duck to the vet
Raising the Bar - 2008 A Leg to Stand On 1-7 was released on: USA: 13 October 2008 Australia: 10 December 2009 Netherlands: 2 June 2012
To rest the other leg.
resting on only one leg is a sign they are comfortable. however, if they favor one leg over the other that could be a sign of a health problem.
our leg bones and leg muscles
NO... you have to be born that way or have a tragic accident in which you lose some of your leg.