The pedestrian was killed in Main Street, in Hilton, Derbyshire, at about 16:50 BST on Tuesday.
Matthew Luke Hogg, 24, from Melville Court, Etwall, appeared before Southern Derbyshire Magistrates' Court earlier and was remanded in custody.
The police watchdog said it was investigating the "tragic incident".
Mr Hogg is due at Derby Crown Court next month.
More on this and other stories from across the East Midlands
The Independent Police Complaints Commission (IPCC) said: "A marked Derbyshire Police vehicle signalled for a Vauxhall Astra to stop close to the A38 near Hilton.
"Initial information indicates that the driver of the Astra failed to stop and a pursuit began.
"The pursuit was abandoned, but a short time later the car collided with two other vehicles and a pedestrian on Main Street."
The investigation will examine what happened before the crash to determine whether the police followed appropriate policies and procedures.
A man has been charged with causing the death of a 75-year-old man by dangerous driving who was hit by a car being pursued by police.