Yes, if you have a 240V US split-phase circuit you could make a little sub-panel with a 40A breaker feeding two 20A 120V circuits and plug the two power supplies into each side. (1600W would need a 20-A breaker because 13.3A would be too much of a 15A circuit). But it would probably make more sense to just plug them both into the same 40A 240V circuit. If you use NEMA 6-20, make sure you label it appropriately and probably color it red.

In Europe, you could plug the two power supplies into an appropriately sized 240V circuit.

In an apartment you can't rewire, you could set it up in your kitchen, which in the modern US code should have two separate 20A circuits. You will need to put it to sleep while you use appliances.