In a word, no. The arrangement was chosen to minimize the increase in leakage inductance when using fewer turns, so the high frequency extension is not reduced on the lower-impedance taps. This limitation is one of the compromises I made among convenience, cost, and performance. At least it is possible now to get four different impedances, instead of the two in the earlier SEX amp, and with the switches you don't have to unsolder and resolder wires!
The best option for external control would be to move the switches to where they are accessible without flipping the amplifier over and exposing the wiring. These are low impedance wires at high signal levels, so there are fewer issues with shielding, routing, etc. Incidentally, it is possible to wire the SEX 2.1 for balanced outputs, though there are no holes for XLR connectors.
And thanks for the kind words about the sound. I've been pleasantly surprised with how my designs have come out. It was a great learning experience to try to come up with a decent sounding unit that is still affordable. Here's a side note for engineering geeks: the SEX and Stereomour OT-2 has bifilar windings for the secondaries; the Smack OT-3 is identical except the secondaries are single wire so there are twice as many turns, producing four times the impedance level.