Not natively.
Half of it is easy - add "and issuetype in standardissuetype()" to the board filter (I prefer to do that as a quick filter though, as it makes a nice easy toggle between "all issues" and "just parent types")
The count of subtasks is not an available field though. You'd need code to do that - I suspect you could find/write a "Connect" add on which would create a count of subtasks field, and then you can put that on the boards.
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