Back in 2011, no exchanger was accepting cards, only wire transfers.
So you're lying.
Or a bad memory, which may be confused in the year. Although I think it is more likely that he is lying. We had a similar case on my local forum of someone saying they had lost access to bitcoins they had bought over 15 years ago. When I told him that this was impossible he insisted that he was not lying, that
he bought them at $70 each bitcoin more than 15 years ago. In that case it could be a bad memory.