We present the ultralow-temperature specific heat and thermal conductivity measurements on single crystals of triangular-lattice antiferromagnet Na2BaCo(PO4)2, which was recently argued to host itinerant fermionic excitations, like a quantum spin liquid, above its antiferromagnetic phase transition temperature TN = 0.148 K. In specific heat measurements, we confirm the peaks due to antiferromagnetic ordering when magnetic field µ0H ≤ 1 T, roughly consistent with previous work [N. Li et al., Nat. Commun. 11, 4216 (2020)]. However, in thermal conductivity measurements, we observe negligible residual linear term in zero and finite magnetic fields, in sharp contrast to previous report [N. Li et al., Nat. Commun. 11, 4216 (2020)]. At 0.35 K, the thermal conductivity increases with field up to 3 T then saturates, similar to that of another triangular-lattice compound YbMgGaO4, which further shows that the heat is conducted only by phonons with scattering from spins and boundary. Our results clearly demonstrate the absence of itinerant fermionic excitations in the disordered state above TN in this frustrated antiferromagnet Na2BaCo(PO4)2, thus such a state is not as exotic as previously reported.