I believe they can have bone marrow transplant in theory but I very much doubt it would be successful, because every single patient I've looked after has required packed cells (packed red blood cells). This is mostly due to anaemia caused by either the leukemia itself, or the chemo prior to transplant. Chemo is given to get rid of all cancer cells and to prevent graft rejection - so it's essential. Basically I cannot imagine a patient undergoing BMT without blood.*
*Edit to say my experience is a few years out of date so it's possible they've come up with a solution, though unlikely.