I don't understand why are you trying to argue with something as obvious and as widely accepted by science. What are you even opposing this with, besides speculation? Do you have just any data, facts, studies? If you do a google search containing this: 'height growth nutrition site:ncbi.nlm.nih.gov', you'd find a lot of data to support the importance of nutrition in determining final height. Just a few...
http://www.ncbi.nlm.nih.gov/pubmed/20384180 - [Differences in nutrition manners among short-statured and tall-statured girls and boys from Swietokrzyskie Voivodeship]
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3005655/ - Nutrition plays a fundamental role in determining the growth of individuals.
http://www.ncbi.nlm.nih.gov/pubmed/17181901 - The growth and development of the human skeleton requires an adequate supply of many different nutritional factors. Classical nutrient deficiencies are associated with stunting (e.g. energy, protein, Zn), rickets (e.g. vitamin D) and other bone abnormalities (e.g. Cu, Zn, vitamin C).
http://www.ncbi.nlm.nih.gov/pubmed/21492979 - lol wtf