Nope !   It's a modelling tool/operator.
Once you've used the tool and its options, the boolean is committed to the mesh.  The modifier stack for the object is collapsed at that point.

Note: Having said that, there is an option if you own QOL-The Full Collection:
  "Commit Blender Boolean".  This allows you to use a standard blender modifier right up until the point you may want to clean up buckled normals.  If Blenders own modifier works with no buckling, then no need ! :)