Ya sure. You will need to use an H1 HID kit which is *not* screwed in. EG. the bulb in the Spyder low-beam socket is an H1 and is held in place by a retaining clip.
The low-beam bulb in the OEM assembly was an H4 I believe.. anyhow that's not relevant.
From the harness you are describing the blue wire is the lows, red is the highs and the blacks are the grounds.
Respectively you will cut the blue/black (lows) which ran to the Spyder's existing H1 bulb and rewire those directly into the ballast:
On the new H1 bulb I recommend you cut its red/black wires so that you can feed them through the rubber cover then shorten and reconnect (I used heat shrink afterwards):
2011 Tacoma TRD Sport
Mods so far: Wheels, TRD CAI + Catback [ECU remap], T-rex grille, Spyder Projector/LED headlights, HID primary+fogs, short shifter, Muth mirrors, PL5300 tailgate latch, Pioneer/Image Dynamics stereo, extensive sound proofing, antenna, 3M Carbon Fiber wrap..