Lysophosphatidic acid acyltransferase involved in membrane remodeling leading to increased organic solvent tolerance. Involved in resistance to azoles and copper. a 1-acyl-sn-glycero-3-phosphate + an acyl-CoA = a 1,2-diacyl-sn-glycero-3-phosphate + CoA The HXXXXD motif is essential for acyltransferase activity and may constitute the binding site for the phosphate moiety of the glycerol-3-phosphate. The isooctane tolerance of organic-solvent tolerant strain KK-21 may result from the alteration of the expression of several genes including ICT1, due to the loss of their proper regulation. Belongs to the peptidase S33 family. ABHD4/ABHD5 subfamily.