Yes. There are a lot of them. Khamis Roche Method, Wainer Thissen Method. Sherar method. There is also a method associated with the Tanner Whitehouse skeletal age assessment.
I think you double the child's height at age 2 years, don't quote me you'll have to check this. There are other online calculators available if you yahoo search, that use various variables in the equation. I don't know their accuracy, but at a guess given I've tried one of these it is probably correct, but I didn't bookmark it.
The basic method takes into account the genetic background of a child and calculates a target height. For a boy you add 6.5 cm to the average height of the parents and for a girl you subtract 6.5 cm from the parental average height.
A more accurate way takes into account the childs' pubertal stage by means of their bone age. The more advanced the bone age is the closer a child is to their final adult height.
As far as I know, the body length of the infant at birth gives a certain indication. But there should be a loose rather than a very close positive connection with the later reached height. During puberty there is often a growth spurt in individuals that one would not have expected before. There are certainly more precise research data on this.