No. Genes determine our metabolic rate, general body shape, and height, not how we eat or how active we are, which are equally important in the equation. Whatever combination of metabolic rate, body shape, and height your child has been dealt, he or she can have a healthy, stable weight if attention is paid to healthy eating and activity. Not everyone can have a perfect physique (whatever that means!), but everyone can have a healthy body.
However, while no child is destined, children with one or two overweight or obese parents are at higher risk for being overweight or obese themselves (Whitaker RC, Wright JA, Pepe MS, Seidel KD, Dietz WH. Predicting obesity in young adulthood from childhood and parental obesity. N Engl J Med 1997; 37(13):869–873).