Yes and no. Technically no.
If your transactions are tiny, you can get as many accounts as you like. If you're using it to buy stuff only, you can have many accounts.
In Oz's case, his transactions are what would be considered huge. He's receiving money, not sending, that's completely different.
His transactions are in the thousands, if not tens of thousands. In that case, the state will require identity verification in the name of combating money laundering. The threshold is different for each country. For some, it's $1000 and for others, it could be as little as $200 or as high as $3000.