If i were to get my breasts removed would i still be able to get breast cancer?

Yes: Women at high genetic risk for breast cancer who opt for prophylactic mastectomies still have a small rate of breast cancer. If there is quite a bit of breast cancer in your family, especially early, you may want to be tested for BRCA mutations. It's most important for you to know, however, that death from breast cancer is uncommon among women who self-examine faithfully & get screened.

Unlikely: If all your breast tissue was completey removed it would be less likely you would get breast cancer. Please speak with your parents first if this is your intention.

Breast cancer: Removal of healthy breasts in a fully developed woman essentially prevents one from getting breast cancer. It is possible that small amounts of breast tissue remain unless the underlying pectorals muscle is removed. In the above case one assumes that there is no abnormal tissue in the breasts before removal.