No.
The "BQC System" is not for passive EMGs like the selects. The "BQC Control" can be used with passive p'ups.
That being said, if you take an EMG "System" and clip off the blend and volume pots, you now have a "Control" preamp. The "Systems" are just the "Controls" with blend and volume pots of the appropriate values for active EMGs
You want different value volume pots for a low-impedance active EMG than for a passive.
In summary, with a few wire cuts, you can transform an EMG System into an EMG Control.
Hope that helps.