If i didn't have chicken pox , can i still get shingles?

No: Are you sure you did not have chickenpox as a young child and do not remember? You doctor can check for antibodies to the chickenpox virus. If present that would indicate prior infection.

Worrisome issue: Most adults that think they didn't have chickenpox will have antibodies that show they had an unrecognized infection. Those that didn't are at risk of a severe case including a terrible & possibly fatal pneumonia, so vaccination is worthwhile. Vaccine recipients have a lower risk of shingles that those having the wild disease but shingles only occurs to those having chickenpox or the vaccine.