Currently there is no geoprocessing tool or a geoprocessing script tool that can do that. One idea that comes to mind is exporting all the control points (maybe this step can be skipped), then running the geoprocessing Near tool to find the points that are closest to the control and then the geoprocessing XY To Line to generate line feature classes. You can then import all the lines as connection lines using the geoprocessing Load a Topology to a Parcel Fabric. The last help links also covers importing connection lines:
The [Line feature class] Must Be Covered By Boundary Of [Polygon feature class] rule can be marked as an exception if the line is being migrated as a connection line or road centerline to the parcel fabric. Connection lines are lines that connect parcel points to control points or lines that connect blocks of parcels. If a line is being migrated as a connection line, there should be a Category field on the source lines attribute table and the category value should be set to 3 (for connection line).
More help documentation can be found under Loading Road centerlines.
The automatic creation of connection lines is on the product road map.
