No, the family farm does not need to be the principal residence of the transferee to qualify for the parent-child exclusion; however, it does need to continue to be used as the family farm by the transferee in order to continue to receive this benefit.
CA Law defines “family farm: to mean any real property which is under cultivation or which is being used for pasture or grazing, or that is used to produce any agricultural commodity, or as that term is defined in Section 51201 of the Government Code as that section read on January 1, 2020.