Great questions! Yes, in fact scientists have found that general fingerprint patterns are shared by members of the same family. On the other hand, no two fingerprints are exactly the same, which is why they are used for identification. Fingerprints are formed in response to the environment a baby is exposed to during development before birth. Even identical twins (which are exposed to virtually the same environment) have different fingerprints so there are a lot of factors ultimately defining ones fingerprints. Here is a wonderful article describing the features that can be inherited and those that are not: