Not as direct a drill-down experience, but may still help. Dashboard filter actions from one view to another might too.
It’s theoretically possible to get this kind of drill down using a self-unioned data source, calculated fields, and extremely customized filter actions, plus additional calculations for most every measure or calculated field to handle the replicated data. Plus depending on the view type (map, crosstab with grand totals, etc.) there can be additional subtleties that need to be dealt with.
Given the complexities & time to work everything out in many cases it would be faster to do an upgrade of Tableau Server to 2018.3 than to try to implement this in a single data source & workbook. Plus the level of knowledge of Tableau’s inner workings required is really high, I’ve only ever seen a few people do anything like this.
I've done it with a parameter. Not exactly what you're looking for but it kind of does the job.