Yes. We used to also have a mosquito service but we decided to discontinue because we didn’t want to kill the pollinators. We now have a smaller commercial grade fan that has a really good kick to it. I setup the screen & projector in the backyard usually once a week between April-October. During movie nights, I’ll use two smaller Honeywell fans that are extremely quiet and they also work just fine.
They can, but it matters what kind of fan, the placement of the fan, and the force of the fan.
For example, we have overhead fans on our patio which are great for cooling and they do keep mosquitos away from our heads and torsos. But they just drive the mosquitos below the tables to our legs, which are tastier anyway!
The fan in the picture above was very effective in keeping bugs away completely, but it costs more than $2,000.