The engineered chimeric polyhydroxyalkanoate (PHA) synthase PhaCAR is composed of N-terminal portion of Aeromonas caviae PHA synthase and C-terminal portion of Ralstonia eutropha (Cupriavidus necator) PHA synthase. PhaCAR has a unique and useful capacity to synthesize the block PHA copolymer poly(2-hydroxybutyrate-block-3-hydroxybutyrate) [P(2HB-b-3HB)] in engineered Escherichia coli from exogenous 2HB and 3HB. In the present study, we initially attempted to incorporate the amino acid-derived 2-hydroxyalkanoate (2HA) units using PhaCAR and the 2HA-CoA-supplying enzymes lactate dehydrogenase (LdhA) and CoA transferase (HadA). Cells harboring the genes for PhaCAR, LdhA, and HadA, as well as for the 3HB-CoA-supplying enzymes β-ketothiolase and acetoacetyl-CoA reductase, were cultivated with supplementation of four hydrophobic amino acids, i.e., leucine, valine (Val), isoleucine (Ile), and phenylalanine, in the medium. No hydrophobic amino acid-derived monomers were incorporated into the polymer, which was most likely because of the strict substrate specificity of PhaCAR; however, P(2HB-co-3HB) was unexpectedly produced with Val supplementation. The copolymer was likely P(2HB-b-3HB) based on proton nuclear magnetic resonance analysis. Based on the endogenous pathways in E. coli, 2HB units are likely derived from threonine (Thr) through deamination and dihydroxylation. In fact, dual supplementation with Thr and Val showed synergy on the 2HB fraction of the polymer. Val supplementation promoted the 2HB synthesis likely by inhibiting the metabolism of 2-ketobutyrate into Ile and/or activating Thr dehydratase. In conclusion, the LdhA/HadA/PhaCAR pathway served as the system for the synthesis of P(2HB-b-3HB) from biomass-derived carbon sources.