The crash occurred at just before midnight on Saturday at the junction between Lincoln Road and Fitzwilliam Street.
A large part of a part of the wall of the next door Boroughbury Manor House was destroyed. The damage remains in place on Monday morning, alongside a damaged grey Chevrolet.
The driver of the car was arrested on suspicion of assaulting an emergency worker, possession of class B drugs, driving while intoxicated through drink and drugs and theft of a vehicle.
A spokesperson for Cambridgeshire Police said: “We were called at 11.52pm on Saturday night (March 28) to reports of a two-vehicle collision on the junction of Lincoln Road and Fitzwilliam Street, no injuries were sustained in the collision.
“A 26-year-old man from Peterborough was arrested at the scene on suspicion of assaulting an emergency worker, possession of class B drugs, driving while intoxicated through drink and drugs and theft of a vehicle.
"He has since been released on bail to return to Thorpe Wood police station on 27 June.”
