SSIS - How do I execute a single OLE DB Command for mutiple paths?
I don't think your reason justifies using this solution (sisyphean labor is part of a programmer's life...)
It is not efficient and i would not recommend it in your situation.
If, however, your aim was to perform one logical operation for several streams, and your streams have similiar data structure... , there is a way to do it.  

Your best option is to use the Union All Data Flow Transformation component.
You can map the overlapping input columns to the same output columns, or map them to different columns for easier split in the next step if necessary.
You can also add a derived column for each of the inputs befor the union, which will hold an input identifier, again for the split to come.  

  

There is another way to do it, using a Script Component (one for each path) instead of the OLE DB Command and passing a variable to it.
The variable holds the command to execute, and is initialized in the control flow once.
I find it too cumbersome, maybe because I'm just a DBA (not programmer) and lack scripting knowledge...