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.
More top news
Two police officers helping to guard diplomats have been sacked for sharing pornographic images on their mobile phones.
A 32-year old man from Hampton has been jailed for five years historic sexual assaults in the late 1990s.
A teenager who was mistakenly released from prison after he was arrested on suspicion of attempted murder has been detained by police.