The shop targeted in Sloane Square is Gucci's flagship store.
It's thought that the Mercedes used to reverse into the glass doors may have been stolen.
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Before the final declaration on Friday, the Conservative candidate looked set to lose the City Hall race to Labour's Sadiq Khan.
The Tooting MP has been the frontrunner in the counting process ahead of Tory challenger Zac Goldsmith.
It's not just London where elections have been taking place today. There were council elections taking place across the home counties.