Police said the blast destroyed a nearby primary school and two houses. Two outer walls of Rehman's house were also damaged.
An intelligence official earlier confirmed the blast and said security teams were assessing the damage.
One witness said he saw two people driving up in a red Toyota and then fleeing the scene.
The tribal areas outside Peshawar have been faced violence since hundreds of Taliban and al-Qaeda fighters sought refuge in the region after the US-led invasion of Afghanistan toppled the Taliban regime in 2001.