Graham grew up in Brookhaven, Mississippi, graduating from Brookhaven High School in 1997. After earning a degree in English and History from Mississippi College in 2001, Graham attended law school at Wake Forest University in Winston-Salem, North Carolina. While in law school, Graham served as a Notes & Comments Editor for the Law Review and was on the Moot Court Board. He also published a case note in the Wake Forest Law Review, Kelly v. South Carolina: The Symbolic and Substantive Implications of the Supreme Court’s Latest Word on Parole Ineligibility in Capital Cases, 38 Wake Forest L. Rev. 1327 (2003). After earning his law degree from Wake Forest in 2004, Graham returned to Mississippi to begin his legal career. 

Graham has extensive experience litigating civil and criminal cases in state and federal courts. He is licensed to practice before all Mississippi state and federal courts, the Fifth Circuit Court of Appeals, and the United States Supreme Court. Graham is a Public Defender for the City of Clinton and previously did public defense work for the City of Byram and Lincoln County. He handles federal habeas corpus death penalty, trial, and appellate cases as an appointee under the Criminal Justice Act. He also represents a variety of professionals, such as attorneys, nurses, and doctors, in licensure and disciplinary matters.  

Graham is a longtime member and officer in the Mississippi Association for Justice (MAJ). He is a past President of MAJ and currently serves on its Board of Governors and Long Range Planning Committee. He is also an active member of the Mississippi Bar, Capital Area Bar Association (CABA), Mississippi Public Defenders Association, Association of Professional Responsibility Lawyers, and National Association of Criminal Defense Lawyers. Graham is currently serving as Vice President and President-Elect of CABA. He recently began serving on the Supreme Court Advisory Committee on Rules.