Veterans Posttraumatic Growth Act This bill requires the Department of Veterans Affairs (VA) to conduct a two-year pilot program to study the effectiveness of nonprofit post-traumatic growth programs to determine (1) the outcomes of such programs in contrast to traditional models of mental health care, (2) the possible integration of such nonprofit programs into VA mental health care programs, and (3) the budgetary impact of such integration. Post-traumatic growth is the positive psychological change that can result from struggling with traumatic events. The bill makes veterans who are not at immediate risk of attempting suicide and not participating in traditional mental health treatment eligible for such program.