'Plate/tile hybrids' (plates with studs missing) I wonder whether a piece exists fitting any of the following (equivalent) descriptions:

As a 1x2 jumper (two-studs-to-one-stud-jumper) or a 1x3 jumper (three-studs-to-two-studs-jumper), but without the 0.5 stud offset.
As a 1x2 or 1x3 plate, but with one stud missing.
Ax a 1x1 or 1x2 plate 'stuck to' a single 1x1 tile.

EDIT: the intended use was to attach the 'hair' for a Bionicle MOC representing a character of the  Vortixx race. I planned to build the head using a Vahki head with a one-axle-two-pins perpendicular connector attached to the axle hole on the back of the head, then attach the tile/plate-hybrids I described to the connector's pin holes with their studs, and finally 'loop' three system chains between the now-exposed stud holes. Currently I'm leaning towards just using two 1x3 jumpers and living with the half-stud of open space.
Unfortunately, this part does not exis.
In addition to the part suggest by Michael, you might be able to use the 2x2 tile with 2 studs (33909) if your design could be adjusted to make use of a 2x2 part: