The "my doctor said" type of allergy or the "my skin got red" type of allergy? Itching or reddening after skin contact are not unusual and I don't think they are allergies, just as it's not an allergy if you scratch yourself with sandpaper until your skin is red and swollen.
If you mean something else, especially something that has to do with breathing, talk to a doctor. It's probably related to particles in general then and not just fibreglass particles and that may rule out a lot of other materials and activities as well. You should also get a doctor's advice about which respirators are safe to use for you if you have any respiratory conditions.
You can use cotton as a replacement. Results are not as good as with glass, but it works. Cutting up large quantities of that is dusty as well though and might lead to some sort of asthma attack, too, which brings us back to tip #1: When in doubt, see a doctor.
Also, go easy on the people who're trying to help you here. Understanding the full spectrum of what your posts might mean is not exactly easy considering how stingy you are with punctuation marks and capitalisation.