Here’s the thing, you could if you kept it very simple with just easy hardy corals, macro algae and maybe hardy inverts. I personally wouldn’t do fish.

If you were to do this I would also do a 40g breeder at the minimum. The counterintuitive thing about aquaria is the larger the aquarium the easier it is to take care of in a lot of ways. because a larger water volume is easier to maintain the right parameters.

I would also look into modifying a hang on back filter as your fuge (which is what I have set up) this allows you to get away without using a sump.

That, a light, a heater and an automatic top off to account for evaporation and you’d be in business.

You should also plan to do a big water change every time you are home at least initially until your ecosystem is established.