With some bugs there is nothing you can do except drop DDT from airplanes and the problem there is it kills all bugs good or bad then you have an even bigger problem down the road. There are also environmental concerns, we have salt water and fresh water misquotes the fresh water ones can be sprayed for and if they get bad the county does spray by air and trucks go out at night fogging lagoons. The salt water misquotes which basically grow up in the salt marshes can't be sprayed without poisoning the shell fish so nothing gets done when those skeeters get out of hand. We have lots of agriculture going on as well and you needed bees and other bugs for various plant related things, you simply can't kill all the bugs without all sorts of bad things happening.
I dumbed that down but simply it is possible to kill every bug in an area but there are many many reasons why that would be a really bad idea. Nature has bug killers out there and those will multiple up to the level of what ever bugs they kill. Someone said cicades are going to be big this year which means the cicade killing wasps will be out in force that's what they eat. Misquotes go wild, fish will have lots of eggs to eat, frogs will multiple and so will the bat population. It's just the bug eaters take a while to catch up in numbers or like love bugs there is just a quick blast then the bugs all die out till next season.