Is there a way to predict the height of a child when they grow up?

Yes: Predicted adult height is calculated as mid-parental height+ or -2 sd (4 inches).

Basic math: Add together the height of both parents and divide by 2. The expected height of male children would add 2.5 inches to that number while female children would subtract 2.5 inches.There are variations in outcome. but this is how we decide as early as a few months of age whether a baby is growing along an expected pattern.