AD9106 DAC output voltage range

No, that is not possible. The current output stage of the DAC is a PMOS transistor switch with the Gate grounded (low voltage to turn on PMOS) when on so the drain of the PMOS can only swing positive above ground until the device goes out of the saturation region which is the approx. +1V. The negative swing below ground is set by the ESD protection diodes turning on. If you need 3.3 V output swing then you will need to use an external amplifier (as outlined in the datasheet).

No, that is not possible. The current output stage of the DAC is a PMOS transistor switch with the Gate grounded (low voltage to turn on PMOS) when on so the drain of the PMOS can only swing positive above ground until the device goes out of the saturation region which is the approx. +1V. The negative swing below ground is set by the ESD protection diodes turning on. If you need 3.3 V output swing then you will need to use an external amplifier (as outlined in the datasheet).