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.
The first part is true for near everything that has any sort of limit on supply, land or houses for example largely would follow the same path, along with precious metals etc.
From a pure mathematical point of view 1000x doesn't seem that much given that bitcoin has already achieved more than that in growth but when you look at it in real terms it's hard for anything to sustain such growth. I think any sort of a mega bull run would still not take us close to those levels until such a scenario as you spoke of when FIAT value continues to decrease due to the increases in supply.