With prior planning, yes. within limits. The key is to stockpile water IN THE SOIL BEFORE THE DROUGHT. And do everything to conserve it.
Now, if you are trying to start in a drought you have to use every drop of water wisely. Mulch well and very controlled watering, using grey water and any other source you can find. But that is assuming you have well/muni water to use.
If you are in a drought and don't have a water source and didn't get your earthworks done and charged before it started, then you don't have a lot to work with.
"You must be the change you want to see in the world." "First they ignore you, then they laugh at you, then they fight you, then you win." --Mahatma Gandhi
"Preach the Gospel always, and if necessary, use words." --Francis of Assisi.
"Family farms work when the whole family works the farm." -- Adam Klaus
Assume that every year will be a drought and plant accordingly:
Cultivars/Species Selection: Drought resistant maybe with a name like southwest kale.
Root system: at most weekly to encourage deep root system
Spacing: With less rain you will have to give each productive crop greater spacing than say in wet Georgia.
Water conservation: Use mulch to cut down on evaporation, use N-fixing ground cover, palm over story.
Water storage: buried root system, wood (hugleculture) to water, swales, etc.
Increase mineral: plants mainly use water to as a medium to carry soil nutrients, so increase your mineral.
Mineral Absorption: a fungal network can do efficient mineral mining, so will adding biochar and humus, mineral accumulator
These are just a few ideas I am sure other can give more and expand on the ones I listed
-Swales essentially work by slowing the water down, when you do get it, enough that it will percolate into the soil and hopefully raise the water table. Once again, Geoff Lawton is amazing! Here is a great video on YouTube with Geoff Lawton talking about swales.