Yes. When using the Family History Tool iPad app offline, all pedigrees that are created offline are stored locally on the iPad. The next time you connect to a wifi network and log into your account on the same iPad, the pedigrees created while offline will be saved to a HIPAA-compliant cloud server synced between devices.
In order to prevent unauthorized access to patient information, you are only allowed to log in offline within 5 days of the last time you logged in online. After 5 days of logging in offline, you will be asked to log back into your account while online.