I am 32 yrs female I been having left arm numbness and my upper back its been hurting on and off its that a sing of a heart attack?

Heart attack. Women tend to have variable and atypical symptoms. Please see your pcp if your symptoms have resolved or go to the er if you have on going symptoms.
Chest pain. What you describe is likely musculoskeletal. You can see your doc to be sure and to have an work up or treatment that may be appropriate.