I hooked applied a voltage across the object, so the lens in the middle will raise to the top. I found that the voltage needed to raise it to the top is 2.6V and the current drawn is 0.46 as illustrated in the circuit below:
Well a DAC can generate the voltage it will never supply .46 amps by itself. It would require a current amplifier stage following the ADC output.
If we knew more about what is being manipulated in the lens to cause it to move, perhaps a simple electromagnet coil, you could most get by with a much simple arduino PWM output using analogWrite() commands and a simple switching transistor?