Modernization of Medical Records Access for Veterans Act of 2017 This bill directs the Department of Veterans Affairs (VA) to carry out in at least one Veterans Integrated Services Network a pilot program for at least a 12-month period during which veterans enrolled in the VA's patient enrollment system will use a portable medical records storage system to store and share with VA health care providers and community health care providers records of their individual medical histories. The VA shall seek to enter into a contract, using competitive procedures, with an appropriate entity to furnish such storage system. The bill specifies system requirements, including: (1) the capability to store at least four gigabytes of electronic health records on a physical device no larger than a credit card, and (2) the capability to be used by substantially all electronic health records systems certified by the Office of the National Coordinator for Health IT on or before January 1, 2017.