Can insect bite cause anaphylaxis?

Anaphylaxis: Anaphylaxis to insect stings has occurred in 3% of adults and can be fatal even on the first reaction. Large local reactions are more frequent but rarely dangerous. The chance of a systemic reaction to a sting is low (5–10%) in large local reactors and in children with mild (cutaneous) systemic reactions, and varies between 25% and 70% in adults depending on the severity previous sting reactions.

Yes, but...: ...It's unusual. It's more common from stings, due to bees, wasps, hornets, and some species of ants, because they inject a venom that some people are very allergic to. Susceptible individuals carry an "epi-pen" - an injectible cartridge of epinephrine, which counteracts the anaphylactic reaction. And they never forget to apply insect repellent when they go outside.