QUILT-3.033: Haplo NK With SQ ALT-803 for Adults With Relapsed or Refractory AML

Inclusion Criteria: * Diagnosis of acute myeloid leukemia (AML) and meets one of the following disease criteria: * Primary induction failure: * De novo AML - no CR after 2 or more chemotherapy induction attempts * Secondary AML (from MDS or treatment related): no CR after 1 or more chemotherapy induction attempts * Relapse after chemotherapy: not in CR after 1, 2, or 3 re-induction attempts * Patients \> 60 years of age, the 1 cycle of chemotherapy is not required * Relapse after hematopoietic stem cell transplant: * Relapse must have occurred \> 18 months after transplant * No re-induction required and no more than 1 re-induction attempt is allowed * Notes: 1. For hypomethylating agents (i.e. decitabine, azacitidine) to count as an induction/re-induction attempt, the patient must have completed a minimum of 3 monthly cycles 2. For targeting agents (i.e. sorafenib) to count as an induction/re-induction attempt, the patient must have completed a minimum of 1 month without attaining CR 3. 7+3 followed by 5+2 counts as TWO induction attempts 4. Use of hydroxyurea is permitted to control blasts until Day -3 per Section 8.7 5. A history of AML related CNS involvement is allowed if CSF analysis is negative on 2 test dates at least 2 weeks apart prior to study treatment. The use of ongoing CNS maintenance therapy is allowed while on study. * HLA-haploidentical related donor (aged 12 to 75 years) with donor/recipient match based on a minimum of intermediate resolution DNA based Class I typing of the A and B locus (at least 2/4 class I allele) * Karnofsky Performance Status ≥ 60% * Adequate organ function within 14 days of study registration (28 days for pulmonary and cardiac) defined as: * Creatinine: ≤ 2.0 mg/dL * Hepatic: AST and ALT \< 3 x upper limit of institutional normal * Pulmonary Function: oxygen saturation ≥ 90% on room air; PFT's required only if symptomatic or prior known impairment - must have pulmonary function \>50% corrected DLCO and FEV1. * Cardiac Function: LVEF ≥ 40% by echocardiography, MUGA or cardiac MRI, no uncontrolled angina, severe uncontrolled ventricular arrhythmias, or electrocardiographic evidence of acute ischemia or active conduction system abnormalities. * Able to be off prednisone or other systemic immunosuppressive medications for at least 3 days prior to NK cell infusion (excluding preparative regimen pre-medications) . * Sexually active females of child bearing potential and males with partners of child bearing potential must agree to use effective contraception during therapy and for 4 months after completion of therapy . * Voluntary written consent prior to the performance of any research related procedures. Exclusion Criteria: * Acute leukemias of ambiguous lineage * Pregnant or breastfeeding - The agents used in this study include those that fall under Pregnancy Category D - have known teratogenic potential. Women of child bearing potential must have a negative pregnancy test at screening * Active autoimmune disease requiring systemic immunosuppressive therapy * History of severe asthma and currently on systemic chronic medications (mild asthma requiring inhaled steroids only is eligible) * New or progressive pulmonary infiltrates on screening chest X-ray or chest CT scan unless cleared for study by Pulmonary. Infiltrates attributed to infection must be stable/improving (with associated clinical improvement) after 1 week of appropriate therapy (4 weeks for presumed or documented fungal infections). * Uncontrolled bacterial, fungal or viral infections including HIV-1/2 or active hepatitis C/B - chronic asymptomatic viral hepatitis is allowed * Received any investigational agent within the 14 days before the start of study treatment (1st dose of fludarabine) * Prior ALT-803