Can I be allergic to one brand of condoms and not another?

I've never had sex until three weeks ago when my LD boyfriend came into town, we have been super active and can't get enough of eachother, so we hopped around different brands of condoms (whatever was in the store.) We had used several different brands, Durex, trojan, etc. Durex being the latest one we used.

Everytime he used them, I got a congested nose, sneezing, and the 2nd time he used them I got one or two hives on my face.

But every other condom brand we used I didn't have an issue at all, they were all just natural latex.

Is it possible to be allergic to just one brand?