Hi,
if you connect + input to GND, and reference the input voltage to GND also, your circuit will work in principle.
The load will be virtual earthed at - input, and the OpAmp is capable of driving 1µA easily .
Practically, your circuit probably will be disturbed greatly, if you - for example - connect the DAC to a µP with external supply.
That means, your output current will have a lot on noise, meaning, it will fluctuate a lot.
At nA level, the fluctuations will exceed the nominal output value.
For such low currents, let's say below 10µA, you must provide very good shielding of the OpAmp, the reference resistor, the power supply - perhaps better realized with batteries , and the output jacks for the load. You'll need perhaps an active shield for the components, and also for the load itself. The reference voltage also has to be free of noise, especially via GND.
Perhaps you download manuals for Keithley nA / pA sources (e.g. search for Keithley 220), or have a look at Daves tear down of Keithley low current source and DMM. (#406)
You did not explain, for what kind of load you are building your circuit.
Perhaps the output needs an earth / GND referenced or a floating output.. in those cases, you need another circuit.
Frank