Health Savings Account Act This bill modifies the requirements for health savings accounts (HSAs) to (1) increase the maximum contribution limits for HSAs to match the sum of the annual deductible and out-of-pocket expenses permitted under a high deductible health plan, (2) allow individuals who receive primary care services in exchange for a fixed periodic fee or payment to participate in an HSA, and (3) permit HSAs to be used for fitness center memberships. The bill also allows a medical care tax deduction for periodic provider fees, including (1) periodic fees paid to a primary care physician for a defined set of medical services or the right to receive medical services on an as-needed basis; and (2) pre-paid primary care services designed to screen for, diagnose, cure, mitigate, treat, or prevent disease and promote wellness.