Short answer: I don't think so.

Long answer: with a handful of exceptions, carnivorous plants grow in permanently wet locations, such as bogs. The traditional way of growing most of them is to stick them in a drained pot and then stick the pot in a bowl of water. Doing that with an entire wall ("I have to keep the wall wet! It changes color when it dries!" -Johnny the Homicidal Maniac) seems problematic.

The most notable carnivorous plants not typically grown using the water tray method are Nepenthes, the tropical pitcher plants. These plants are frequently found growing on the sides of trees, cliff faces, etc, and they send out climbing vines, so an entire wall of them seems feasible.

Some species of mosquito larva can and do survive in the fluid within Nepenthes pitchers. You'd need to figure out exactly which species of mosquitoes you've got, and what their infauna relationship with Nepenthes species is, otherwise you might actually contribute to your problem with a wall of Nepenthes.

Finally, will the plants eat the bugs? Well, they aren't preferred prey. They'll probably snack on a few. I once visited a bog full of sundews which was virtually mosquito-free, and when I catch them around my apartment I generally feed them to my flytraps. (It's my way of giving my plants a taste for human blood.) Putting a lamp over sundews or butterworts overnight is a good way to catch fleas; the same trick might work on mosquitoes.
But I don't think you'll be able to install a some plants and decimate the insect population.