When they're VERY overdue, yes. 42 weeks or beyond, the placenta begins to break down and the baby does not receive as much oxygen or nutrients. Also, the longer the baby stays in the womb, the bigger they become, which could make a vaginal birth more difficult.
Inductions done before or right at the due date can fail. Inductions done weeks after the due date are often medically necessary.
A doctor can not force you to be induced.