Graham grew up in Conway, Arkansas and lived there until he attended the University of Arkansas where he received a Bachelor of Arts degree in Political Science in 2001. After college, he attended Mid-America Baptist Theological Seminary in Memphis, TN where he received a Master of Divinity in . He received his Doctorate of Ministry from Southwestern Baptist Theological Seminary in 2020. He and his wife, Leslie, were married in May of 2003 and have three daughters.
Graham is a big movie buff, loves all kinds of music, and enjoys playing the guitar. He really enjoys reading and some of his favorite authors include R.C. Sproul, John Piper, J.I. Packer, Timothy Keller, C. S. Lewis, Charles Spurgeon, Matthew Henry, Timothy Paul Jones, Jonathan Edwards, and A.W. Tozer.
Although Graham grew up in Arkansas, he has a lot of family in Texas. His dad grew up near Austin and raised him to be a Longhorns fan. He is also a huge Dallas Cowboys and Mavericks fan.