Health Savings Account Expansion Act of 2019 This bill modifies the requirements for health savings accounts (HSAs) to: increase the maximum contribution amounts, permit the use of HSAs to pay health insurance premiums and for direct primary care service arrangements, repeal the restriction on using HSAs for over-the-counter medications, eliminate the requirement that a participant in an HSA be enrolled in a high deductible health care plan, and decrease the additional tax for HSA distributions not used for qualified medical expenses.