I mean, it's possible.

Given that fiat currencies around the world will be on a constant decline due to the government debasing the currency, it would be no surprise in the long run if decentralised cryptos held up its value against such depreciation, leading to a rise in nominal value. Besides, demand for bitcoin should increase drastically as well.

However, it's hard to see this happen in the short term like he claims, "in years to come". More likely than not widespread adoption isn't going to come any time soon at this stage, and a rise 1000 fold currently does seem quite an unrealistic figure for the short term given that we already experienced a pretty big bull market last year.