Yes. It's possible to collect all this data.
For the moment, the UN is working on a statistical framework that will be used by all statistical agencies to put together the estimates for these types of events in a comprehensive way.
One challenge that we face is timing and being able to parse out the exact causes. For instance, some things, like the loss of wages because a business closed, you'll see immediately. Other things, such as payouts from insurance, might take a year or sometimes even two years to show through the economic system.
That said, it isn't impossible, but it does pose challenges.