I have small, itchy bumps on my skin. Could these be allergic?

Yes. Itchy red skin is classic for allergic rashes, and these can present as small bumps (papules); they can also present as hives (raised lesions), macules (flat patches), and blisters. In some cases, especially when long-standing, skin can be dry & flaky and become thickened. The location of the rash on the body is important and can help make the diagnosis. A skin biopsy is needed in difficult cases.
Maybe. Could be hives, dermatitis, folliculitis, acne, infection. Do they come and go? Are they in just one spot or do they move around? Does it blanch when you press on them?

Related Questions

I have small itchy bumps on the back of my hand. They are skin colored. They come and go. This started about 2 weeks ago maybe.

? allergic reaction. Would consider if there are any new soaps, detergents, products that hand has been exposed to since it is in a localized area. You could try some hydrocortisone cream. If it continues please see your primary care physician. Read more...

3 patches of very small (pin head size) itchy bumps. One patch has a dime size red itchy bump. I take yoga daily. Very sweaty group setting.?

Possible infection. honestly it is hard to tell from your description what is going on. You added the very sweaty group setting and that suggest you have simply a heat rash (the small pin size bumps" to a bacterial or fungal skin infection (the dime size itchy bump). If the rash gets larger, painful or is not resolving on its own over several more days please have it evaluated. Read more...
Could be fungal. usually rash that starts around sweaty areas of the body (under the breast, around the groin, etc) are fungal in nature. The medical term is tinea. It is usually itchy as well. You can try over the counter lotrimin (clotrimazole) cream. If you get worse or any concern, then see your private doctor. Read more...