no. The Shared Parameter is always going to be in its external .txt file. That file holds its unique ID and it will add it to whatever document you specify.
You are going to need to be more specific, there may be some mixing of terminology going on.
In which Environment? the Project Doc or Family Doc?
‘family’ element itself? The geometry or the Element ID of the family?
Name of the Host Family? Like a family hosted on a wall?
when you say family Symbol are you talking about nested symbols? (like grid head)
Query Types gets you all the familys & their types. So you can use the Query Families to narrow it down, or the new Filter Family component.