I have some work experience that there was no fica deducted, I believe there was medicare deducted. Can I receive disability insurance?

Here is a site that can help answer your questions on eligibility.

Qualify and Apply for Disability & SSI (http://www.ssa.gov/d&s1.htm)

Maybe this can help. Do you have a medical disability? How long has this prevented you from working? Have you been under a doctor's care?