FCC and BCC lattice

Some crystals can be described by a FCC lattice or BCC lattice. For example diamond can be described as a FCC lattice with two basis vectors. Is it also possible to describe it using an ordinary cube lattice with a different basis than the FCC basis?

• A crystal can only be one or the other, fcc or bcc, not one lattice described by either one. – Jon Custer Jan 23 '19 at 23:42

Finally, it is important to remark that no matter the lattice $$\bigoplus$$ motif combination which is chosen, one retrieves the same physical quantities (e.g. diffraction pattern) since the crystal is the same.