Answer: You can water most plants with overhead sprinklers, and farmers often must. But drip watering is almost always better and more precise.
Sprinklers (or rain) may wash away some pollen, but the main concern is disease. Splashing water or wet leaves are what many plant diseases need to spread. Sprinklers also waste some water to wind and evaporation, which is a big concern where you live.
Drip watering systems deliver water to the exact place it's needed: the soil at the base of the plant. The water is applied slowly and is able to soak in. Water doesn't blow away or run off. Leaves stay dry, limiting disease problems.
I'd encourage you to explore using a drip watering system.
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