Stopping Abuse and Fraud in Electronic Lending Act of 2019 or the SAFE Lending Act of 2019 This bill revises requirements related to consumer financial protection and small-dollar lending, including matters concerning remotely created checks, electronic fund transfers, registration of small-dollar lenders, overdraft fees, and the collection of personal information. Under the bill, remotely created checks may only be issued by a person specifically designated in writing by a consumer and provided to the consumer's depository institution. (A remotely created check is a check not issued by the bank and not signed by the account owner.) A voluntary agreement to repay a small-dollar consumer credit transaction by an electronic fund transfer is subject to certain protections, including the right of the consumer to stop payment. Small-dollar consumer credit providers must register with the Consumer Financial Protection Bureau. Any small-dollar consumer credit transaction is subject to the laws of the state in which the consumer resides. The bill also prohibits overdraft fees on prepaid accounts.