Yes, probabilistically. In the many-worlds interpretation, that question is equivalent to: 'can we predict which subset of all the possible future branches of a quantum system we could/will observe, and with what probability?'
We sure can (predict the future).
I give you a simple example: In the times we are living @ this very moment right now in the year 2020 and the reality surrounding us (the entire world within), we know that Amazon shares will keep going up, and Wal-Mart shares as well. It is inevitable.
We also know that more people will get infected by the Coronavirus and, affected as well.
We know with pretty good estimate that the number of departed (deaths) will keep expanding. It is also inevitable based on the conditions and actions performed all over the countries in the world, plus the population numbers (total 7.8 billion inhabitants) and the concentration of larger cities with the very contagious virus...Corona.
We also know that poverty is going to get much worse globally, and on the other scale the rich will get much much richer much much faster...Jeff Bezos, Elon Musk, Tim Cook, Mark Zuckerberg, Bill Gates, etc. It is also inevitable.
We can even predict that these people will have much greater power to influence tomorrow's culture globally. They will be the real leaders of the real world of tomorrow, like they were yesterday and today but to a much greater extent tomorrow.
It is inevitable.
I can go on on protests and revolutions but there's no need as we are already living it.
Now, my personal opinion (we all have one, more or less based on the known and also the unknown): A vaccine or vaccines won't be the cure, changes will.