No. RO units do not work this way. RO units work via water pressure (of the tap) in order to push the water through the membrane. The holes of the membrane are so small, it can filter out viruses (virii?). If your tap pressure is not high enough, you must install a pump. But even if you did that on an aquarium, you would clog the filter up in a matter of minutes, as they aren't meant to filter large sediment and poop. RO filters filter out 99%+ of everything, including hardness (Ca & Mg), which will result in pH crashes from bacterial activity.
If you find the need to use an RO unit, the most common approach is to store filtered water in a bin of some sort, with a float to shut the unit off (similar to a toilet float). The water is then "reconstituted" if so desired to add hardness back or whatever, then pumped into the aquarium when needed.
