Battery measurement after charge
Yes, it is possible.

NiCd batteries can be up to around 1.4-1.5 V each after a full charge.  This will drop with time and rapidly with use to level off at around 1.2 V for most of the discharge life.  By 900 mV pretty much all the energy is gone.  Going much below that risks damage.

NiCd are usually capable of high current, so 10 A for short periods right after a full charge is also plausible.  They won't last long like that, and that current may damage them.  700 mAh sounds rather low for a AA size.

Apparently your "9.6 V adapter" isn't regulated.  It must have put out at least the 11.3 V you measure near the end of charge for the battery to get that high.