Depends on what you call drought. I have mine planted in one of the lowest areas of my yard. My impression, from observation, is that Jaboticabas have fairly shallow root systems (based upon how they all went over in the hurricane). So, I don't think my trees have roots that reach the water table. I have gone months without any added water in our drier season and while growth stops, I haven't seen any tree decline. Now, I should say that my yard does get a fairly heavy dew throughout the year and that may contribute some moisture when it is not raining or I am not otherwise irrigating. The bottom line from my perspective is that they love wet....but in the ground, at least, once established, they will do Ok if you have a fairly moisture retentive soil, even if there is an extended dry spell. I can't say what would happen if you are high and dry with really well draining sandy soil...but I don't think it will be pretty of you deny watering.
Harry