Actually there is no direct database for that, but for separate research projects different datasets have been used usually on a GWAS basis.
http://www.heritabilitymaps.info/ this heritability mapping tool of facial surface using a so called Geodesic Ensemble Surface Sampling Algorithm
https://www.nature.com/articles/srep45885
for e.g. this GWAS study identefied some loci associated with face morphology http://journals.plos.org/plosgenetics/article?id=10.1371/journal.pgen.1002932 using 3D facial Norms Database.
Another GWAS study claimed DNA samples with the aim to future development of facial reconstruction method from dna samples
you can get the supplemented datasets of variants and snps associated and may be you would develop a database linking them but we still need to have strong genetic evidence