No, there are only four blood types determined by the presence/absence of antigens A and B (A, B, AB, 0).
A blood type-has A antigen on the surface of red cells and B antibody in the plasma
B blood type-has B antigen on the surface of red cells and A antibody in the plasma
AB blood type-has both A and B antigens on red cells but neither A nor B antibody in the plasma
0 blood type-has neither A nor B antigens on red cells but both A and B antibody are in the plasma.