Yes Fingerprint is the expression of genes, and their genes also have "similarity" within different groups, that is, "rules to follow" (for example, people in southwest and northwest regions have great differences in overall appearance, but people in the two regions have more similarities, which can be understood as "rules of genes"). As one of the specific expressions of genes, fingerprints should also have rules to follow in theory, but this rule is not particularly clear at present.
Genetically, there is a method called "TRC analysis" for fingerprints, which is to record the ridge (that is, lines) of fingerprints. Through the statistical analysis of a large number of sample data, it is concluded that the number of fingerprint lines of normal people is related to gender, race and region, and the fingerprint lines of different nationalities in China are also different.