Can you really be allergic to bugs?

So a year ago I moved to an area that has A LOT of mosquitoes and I got bit A LOT. Im talking like 20 - 30 bites at a time. I wore bug spray and protective clothing but nothing helped. I started to get sick and my immune system was crap which led to other things. The doctors determined I was allergic to them (obviously). So I moved to a different area where they do have them and I do get bit still but it's not as bad. Anyways my question is I was recently bit by some fire ants and had the same reaction as a mosquito bite. I figured it was normal but then a week later I was in the same area as where I was before and didn't see any fire ants but a couple days later I started getting bites all over my body but way worse. They itch so bad to the point of where it's painful. Is it possible to be allergic to ants too? Do they have similiar saliva or something? Should I go to a doctor, or just take extra percaution? Sorry for the long story just want to get all the facts out there.