The incident occurred at about 11:22 p.m. in the 6800-block of North Clark Street.
Police said four male suspects broke into the shop and stole the red SUV. The thieves damaged a garage door and were involved in a crash involving several other vehicles as they tried to get away, police said.
One suspect was taken into custody while they others got away, police said.
The red SUV struck a gray SUV and a black SUV and two parked vehicles, police said.
A woman driving the black SUV was transported to Illinois Masonic Hospital in good condition and two women and a man who were passengers were transported to St. Francis Hospital in good condition. The driver of the black SUV declined medical attention.