Over the weekend Kim was in the city to launch her latest clothing collection with her sisters, and she took her rapper boyfriend to the famous tourist trap Leicester Square.
The couple went to the Haagen Dazs cafe, and one employee is adamant they failed to pay for their bill.
The server, known only as Assa, posted a message on Twitter, alleging the stars left without paying.
She wrote, "Dear Kim Kardashian & Kanye West thank you for coming in HD, you could've at least payed for your ice-cream, regards the girl that served u (sic)!"
If this is true, it's despicable. Any regular citizen would be arrested for stealing. Just because you're famous doesn't mean you're entitled.